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Differentiation
Page 3
Questions (871)
Find the instantaneous rate of change for the function at the given value.
f(x)=5x+9 at x=2
7 answers
asked by
Sara
979 views
assume x and y are functions of t. Evaluate dy/dt for 2xy--4x/3y^3=48, with conditions dx/dt=-6,x=3, y=-2
4 answers
asked by
faye
4,824 views
Let f be the function defined by f(x)=(4x-8)/(x^2+5x-14)
write an equation of the lien normal to the graph of f at x=1 how?
3 answers
asked by
Lynn
1,703 views
find y'' if x^4+y^4=16
4 answers
asked by
Johnathan
3,480 views
Find an equation of the tangent line to the curve y= tan[(pix^2)/(4)] at the point (1,1)
4 answers
asked by
aa
1,344 views
Find dy/dx at the point (3,8) for 5xy^2/3-x^2y=-12
A.2 B.17 C.-7 D.-28/3
4 answers
asked by
Anonymous
556 views
Calculate
dy dx . You need not expand your answer. y = (9x2 + x)(x − x2)
4 answers
asked by
Beth
1,676 views
Quotient Rule:
Use the limit definition of the derivative to prove that the quotient rule
4 answers
asked by
Bob
1,257 views
The normal to the curve y = ax^1/2 + bx at the point where x = 1 has a gradient 1 and intercepts the y-axis (0,-14). Find a and
4 answers
asked by
Cynthia
1,865 views
if u and v are differentiable functions, then does d(uv) = dudv
4 answers
asked by
Frank
1,190 views
Differentiate.
g(x) = 5e^x√x
4 answers
asked by
Joey
801 views
let f be the function given by f(x)=(3x^3/e^x). for what value of x is the slope of the line tangent to f equal to -1.024?
a)-9.0
4 answers
asked by
victoria
1,329 views
Find the slope of the tangent to the curve y=2sqrt(x) at the point where x=a.
Find equations of the tangent lines at the points
2 answers
asked by
Addy
552 views
Differentiate the following implicit dunction and find dy/dx ln (3xy)=2xy^2
5 answers
asked by
Syam
636 views
Use the given information to find f '(8).
f(x) = 9g(x) + h(x) g(8) = 1 and g'(8) = 5 h(8) = 8 and h'(8) = -3 f'(8)=
4 answers
asked by
Lorine
1,699 views
Let
f(x) = (x − 3)−2. Find all values of c in (2, 5) such that f(5) − f(2) = f'(c)(5 − 2). (Enter your answers as a
4 answers
asked by
Kate
1,608 views
Find the differential of each function.
a) e ^ tan(pi*t) b) sqrt (8+ln(z))
3 answers
asked by
asi
1,094 views
Assume that x and y are functions of t and x^2+2xy=5. If dx/dt=-3 when x=-1, find dy/dt
4 answers
asked by
Parke
499 views
If f ( x ) = 4 x ( sin x + cos x ) , find f ' ( x ) .
f'(x)= Evaluate the derivative at x = 3. Enter an approximation, rounded to
3 answers
asked by
Johnny
674 views
Find the derivative dy/dx
y=e^(sinh(x))
3 answers
asked by
TayB
1,679 views
Find y' if y=ln(9x^2+7y^2).
4 answers
asked by
TayB
903 views
Consider a differentiable function f having domain all positive real numbers, and for which it is known that f'(x)=(4-x)x^-3 for
4 answers
asked by
Sarah
2,174 views
A right circular cone has a constant volume. The height h and the base radius r can both vary. Find the rate at which h is
2 answers
asked by
Helga
1,064 views
If g is a differentiable function such that g(x) < 0 for all real numbers x and if f'(x)=(x2-4)g(x), which of the following is
3 answers
asked by
nicko
2,418 views
f(x) = x2 + 2x - 1
Compute the derivative (that is, the derivative function) by evaluating the limit. Show your work. (Notice
3 answers
asked by
anonymous
839 views
Estimate f′(6) where f(x)=x3+4x2+4x−18 to within one decimal place by using a small enough interval.
f′(6)≈
1 answer
asked by
Anonymous
298 views
Differentiate the following function:
F(t) = (ln(t))^2 cos(t) I thought it would be: F'(t)=ln(t)[ln(t)sin(t)+(2cos(t)/t)] but
4 answers
asked by
Rohanna
2,050 views
Suppose
y = sqrt(2x + 1), where x and y are functions of t. (a) If dx/dt = 15, find dy/dt when x = 4. dy/dt = ?
3 answers
asked by
Anonymous
2,663 views
Let f be a differentiable function defined on the closed interval [a,b] and let c be a point in the open interval (a,b) such
3 answers
asked by
Mike
2,004 views
if f(x)=(x^2)(e^x) prove by induction that the nth derivative is (x^2 +2nx +n(n-1)(e^x)
thanks
3 answers
asked by
claire
538 views
If f(x)=3 sin x+ln(5x), find f '(x).
3 answers
asked by
TayB
1,428 views
Find dy/dx, if y= 5e^x/cosx
4 answers
asked by
Roy
1,317 views
given f(x)=x^3+5x find the rate of change for the interval [0.5,0.51]
3 answers
asked by
sarah
986 views
For f(x)=lnx, construct tables, rounded to four decimals, near x=1, x=2, x=5, and x=10. Use tables to estimate f'(1), f'(2),
2 answers
asked by
Josie
615 views
simplify (f(x+h)-f(h))/h where f(x)=2x^2+x.
3 answers
asked by
Anonymous
840 views
Let f(x)=
sin(pi(x)) , 0 is less than or equal to x is less than or equal to 1 a(x)+b , 1 is less than x is less than or equal to
4 answers
asked by
Anonymous
788 views
If f is a vector-valued function defined by f(t) = (e^(2t), lnt), then what is f ''' (t)?
A. 8e^(2t) - 2/t^3 B. (e^(2t), -2/t^3)
3 answers
asked by
Anonymous
1,235 views
product rule examples
5 answers
asked by
pejbcjurbujfnbrnfgunru
18 views
A point is moving along the graph of y = 1/(1 + x^2) so that dxldt = 2 centimeters per minute. Find dy/dt for the following
3 answers
asked by
Brian
858 views
If y = 2x^3 - 4x and dx/dt = 4, find dy/dt when x = 1.
Please show me how to solve this problem with steps.
4 answers
asked by
Dan
1,328 views
A Cyclist is riding on a path whose elevation is modeled by the function f(x) = 0.08(16x-x^2) where x and f(x) are measured in
2 answers
asked by
Lindsey
925 views
Find the derivative. s=t^6tan(t)-sqrt t
4 answers
asked by
Jan
639 views
Find dy/dx in terms of x and y if xlny+y^6= (9)lnx
4 answers
asked by
Catherine
1,607 views
product rule problem example
3 answers
asked anonymously
22 views
Let y = sin(x^2-3). find dy.
3 answers
asked by
Anonymous
1,060 views
Differentiate (4x 2)^–3 with respect to x. Hence, find the value of dy/dx when x=1?
2 answers
asked by
Jerome
207 views
For the curve with equation y=x^3-6x^2+20 , find dy/dx
3 answers
asked by
alex
290 views
using first principle, find the slope of a tangent line to the curve f(x) = x^2-3x+5 at x=3
3 answers
asked by
anonymous
1,414 views
Use the information in the image: imgur(.)com/a/YzAGLvs (Remove the parenthesis to use link)
1. On what interval is g increasing?
3 answers
asked by
Jeff
488 views
Use the information to evaluate and compare Δy and dy. (Round your answers to three decimal places.)
y = x4 x = 1 Δx = dx = 0.1
4 answers
asked by
Ichi
1,962 views
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