Differentiation and Integration

Welcome to the "Differentiation and Integration" category of Questions LLC! Whether you are a math enthusiast, a student struggling with calculus, or someone looking to deepen your understanding of these fundamental mathematical concepts, you've come to the right place. In this category, you will find a variety of thoughtfully curated questions that explore differentiation and integration from various angles. From basic concepts to advanced techniques, our community of experts and peers are here to help unravel the intricacies of these essential mathematical operations. So, whether you seek insights on finding derivatives, integrating functions, or understanding the applications of differentiation and integration in the real world, browse through our questions and join the conversation today!

Questions (16)

What the difference between derivative and integration
1. 1 answer
2. asked by Fuad Faji Jemal
3. 66 views
Let r'(t) represent the rate of growth of a dog in pounds per year. What does r(t) represent?What does integral of 2 to 6 r'(t)
1. 4 answers
2. asked by Erika
3. 2,698 views
f is a differentiable function on the interval [0, 1] and g(x) = f(2x). The table below gives values of f '(x). What is the
1. 3 answers
2. asked by Anonymous
3. 2,006 views
5. A particle moves along the x-axis in such a way that its position at time t is given by x=3t^4-16t^3+24t^2 for -5 ≤ t ≤
1. 3 answers
2. asked by fareha
3. 3,194 views
F(x) = x^5 ln xA) Find the interval on which f is increasing Find the interval on which f is decreasing B) Find the local
1. 2 answers
2. asked by Ray
3. 2,654 views
A function has f''(x) = 10 and has f'(4) = 0 and f(2) = 4. Find f(x).
1. 3 answers
2. asked by Sarah
3. 442 views
Evaluate the following expression:d/dx (integration sign: upper=1 and lower= -3) (2t^3 + 3)dt = I am given the following
1. 4 answers
2. asked by Mishaka
3. 418 views
Determine whether Rolle's Theorem is validf(x) = 3 - |x - 2| for [-1, 5] if so, find c. if not, tell why.
1. 1 answer
2. asked by Sandy
3. 359 views
Consider the function f(x) whose second derivative is f''(x) = 8x + 4sin(x). If f(0) = 2 and f'(0) = 2, what is f(x)?I got...
1. 2 answers
2. asked by REALLY NEED HELP!!!!
3. 520 views
Differentiate sin(cubed)x with respect to x.Hence �find (integration sign) sin(squared) x cosx dx. ALSO Find the equation of the
1. 1 answer
2. asked by john peaterson
3. 393 views
Differentiate ln [x+√(x^2+1)] with respect to xhence evaluate limit 0 to 1 ∫ 1/√(x^2+1) dx
1. 1 answer
2. asked by Aoi
3. 873 views
Posted by Craig on Tuesday, November 25, 2008 at 7:54pm.t: 0 2 5 7 11 12 r'(t): 5.7 4.0 2.0 1.2 0.6 0.5 The volume of a
1. 3 answers
2. asked by Damon
3. 948 views
The marginal revenue for x items in dollars is given by R′(x)=−4.5x+6. Determine (a) the revenue function and (b) the demand
1. 1 answer
2. asked by Ann
3. 862 views
OH, I forgot to post this one with my last two questions! Here it is:3. f is a differentiable function for all x. Which of the
1. 2 answers
2. asked by Justin
3. 782 views
A woman driving her car approaches an intersection and begins to accelerate just as the traffic light turns green. Her velocity
1. 2 answers
2. asked by Genny
3. 547 views
True or FalseIf F(x) and G(x) are antiderivatives of f(x), then F(x)=G(x)+C If f'(x) = g(x) then integral g(x) dx = f(x) + C
1. 2 answers
2. asked by James
3. 517 views