Ask a new Differential Calculus question. Multiple AIs will answer your question.

Newest Differential Calculus Questions

1. A particle is moving along the curve below.y = sqroot(x) As the particle passes through the point (16, 4), its x-coordinate
   1. 2 answers
   2. asked by lizzy
   3. 384 views
2. If the x-intercept of the tangentto the curve y=e^-x is increasing at a rate of 4 units per second, find the rate of change of
   1. 1 answer
   2. asked by Anonymous
   3. 2,437 views
3. A point moves along the curve y=x^2+1 so that the x-coordinate increases at a constant rate of 5 units per second. When x=1, at
   1. 2 answers
   2. asked by Lenard
   3. 1,884 views
4. I'd appreciate corrections for the ones I get wrong. :) Thanks!6. A point on a damped spring has motion given by s(t)=2e^(-1.5t)
   1. 2 answers
   2. asked by Lata
   3. 546 views
5. Consider the graph of the function f(x)=x^2-x-12a) Find the equation of the secant line joining the points (-2,-6) and (4,0). I
   1. 2 answers
   2. asked by Ray
   3. 3,783 views
6. Find an equation of the tangent line to the curvey = 6/(1+e^−x)at the point (0,3).
   1. 1 answer
   2. asked by TayB
   3. 950 views
7. verify that g(x)=3x sqrt(x-5) satisfies the condition of rolle's theorem on the interval [0,5]. Find all numbers c that
   1. 4 answers
   2. asked by alex
   3. 688 views
8. 17) Consider the functionf(x)=3x3−3x2+4x+2 Find the average slope of this function on the interval (−3,5). By the Mean Value
   1. 0 answers
   2. asked by Hailey
   3. 654 views
9. use differentials to approximate the change in f(x) if x changes from 3 to 3.01 and f(x) = (3x^2-26)^10derivative: 10(3x^2-26)^9
   1. 2 answers
   2. asked by Alaina
   3. 894 views
10. use the mean value theorem to find the c's on the open interval (a,b) such that fprime(c)= (f(b)-f(a))/(b-a)f(x)= 3xlog(base 2)x
    1. 1 answer
    2. asked by Ashley
    3. 1,135 views
11. A function f is defined on the interval [0,4], and its derivative is e^sinx-2cos3xa. on what interval is f increasing? b. at
    1. 1 answer
    2. asked by Anonymous
    3. 1,051 views
12. Use tangent line approximation to derive an estimate for (1 + x)n , when x is near 0, and n is any real number.
    1. 2 answers
    2. asked by Mishaka
    3. 2,676 views
13. f(x)= −x2lnxfind the critical points , increasing & decreasing interval and concavity.Please just show me the steps on how to
    1. 1 answer
    2. asked by mikki
    3. 971 views
14. A particle moves along the x-axis with velocityv(t) = -(t-3)² + 5 for [0,6]. a) Find the average velocity of this particle
    1. 3 answers
    2. asked by Erica
    3. 625 views
15. Determine if Rolle's Theorem applies to the given function f(x)=2 cos(x) on [0, pi]. If so, find all numbers c on the interval
    1. 1 answer
    2. asked by Ky
    3. 1,523 views
16. Consider the curve given by x^2+4y^2=7+3xya) Show that dy/dx=(3y-2x)/(8y-3x) b) Show that there is a point P with x-coordinate 3
    1. 3 answers
    2. asked by Leanna
    3. 9,790 views
17. A particle is moving along the curve y = 2 √{3 x + 7}. As the particle passes through the point (3, 8), its x-coordinate
    1. 0 answers
    2. asked by Carl
    3. 579 views
18. Please help me with this problem:Find the number c that satisfies the conclusion of the Mean Value Theorem. f(x) = x/(x + 4) [1,
    1. 1 answer
    2. asked by Sarah
    3. 987 views
19. Suppose that f(x) is a function with f(120)=40 and f'(120)=4. Estimate f(118.5).
    1. 1 answer
    2. asked by kayla
    3. 722 views