3. Suppose that {f(t)} = F(s) with F a differentiable function and that L{f'(t)} Exists. Then L{-te¹2t f'(t)} is equal to:

Q: Given that h''(w) = - 34. State the function that best describes h'(w)

A: h"(w) = -34 Now to find h'(w)

Q: If f is a differentiable function, then False True d da 1 = f'(x) f(x)²

A:

Q: If f(4)= 3 and f'(4) = –5, find g'(4) when g(x)=² (4) Your answer

A:

Q: Find all functions f(x) with the following properties. f'(x) = x +1, f(8) = 0 %3D f(x) =| %3D

A:

Q: Given f is a differentiable function such that f(4) = 2 and f'(4) = -3. If g(x) = 2x3 * f(x), find…

A: Given f is differentiable function such that f(4)=2,f'(4)=-3 and if g(x)=2x3f(x). To find g'(4).…

Q: Let f(x) = 2tan(x)/x. Find the following: f'(x)= f'(4)

A: We have to find the derivative and its value at x=4.

Q: Suppose, f'(x)=2cosx+ sec x, -7<x<7½, and it is known that f(T) =D4. Find the function f(x). IT

A: Integrating on both sides, we get

Q: Let f and g be functions satisfying that f(1) = 3, g(1) = 4, f'(1) = 1, g'(1) = 5. For the following…

A:

Q: Let H(x) = f(xg(x)), where f and g are differentiable functions such that g(2) = 3, g' (2) = 5, and…

A: We will solve the following.

Q: 2 Assume that f'(2) = -9, g'(3) = g(3)=2, and y=f(g(x)). What is y' at x = 3?

A:

Q: Let f(x)=2 ta(a), Find f'(z). f'(z) -

A: Given query is to find derivative.

Q: 14. Use spherical coordinates to set up an integral that would give the volume of the region…

A: Integrals calculus

Q: For the function f(x) = (x + 4)*, find f''(x), f''(0), f''(2), and f'"(- 3). f"(x) = D Select the…

A: Given function fx=x+44 The first derivative of given function is f'x=4x+43 The second derivative of…

Q: Let f(x) = sin(4g(x)). Evaluate f'(x).

A:

Q: 7. Determine f'(x) where

A: Derivative: - The rate of change of a function with respect to a variable is called derivative in…

Q: Suppose that f(x) = x2 + 17 Find f' (1). f'(1) =|

A: The function fx=exx2+17. We have to calculate the value of f'1.

Q: Find f such that f'(x)=x² +4 and f(0) = 1. f(x) =

A: NOTE: Refresh your page if you can't see any equations. . take integration on both sides

Q: Let f(x)=x^4 As f''(0)=0, the point (0,0) must be an inflection point True or false

A: Follow next step

Q: Find f' in terms of g' if (i) f(x) = g(x + g(a)). %3D

A: We will use the formula f(g(x))' = f'(g(x))g'(x)