Find the derivatives of the function f for n = 1, 2, 3, and 4. f(x) = x" sin x n = 1 f'(x) n = 2 f'(x) = n = 3 f'(x) n = 4 f'(x) = Use the results to write a general rule for f'(x) in terms of n. f'(x) =

Q: Find f' (x) for the following function. Then find f'(3), f'(0), and f'(-2). -9 f(x) = f'(x) =

A: The given function is -  f(x) = -9xThe above function can also be written as - f(x) =…

Q: Find the first and second derivative of the function. Check to see that your answers are reasonable…

A: This question is related to differentiation, we will use basic rules of differentiation to solve it.

Q: What is the first derivative of the following function: f(x) = (x³ + 2)4 O f'(x) = 12x²(x³ + 2)³ O…

A:

Q: Find F'(-1) given that f(-1) = -2, f'(−1) = 3, g(−1) = −2, g'(−1) = 10, and F(x) = f(x)g(x). F'(−1)…

A: This is a question of calculus  here is the function is given  we have to differentiate using the…

Q: Find the derivative of the function. f(x) = (x³ + 8x + 6)(1+--/-)

A: Find the derivative of the function.f(x)=(x3+8x+6)(1+1x2)

Q: Find F'(-1) given that f(-1) = -1, f'(-1) = -8, g(-1) = –5, g(-1) = 2 , and F(æ) = f(x)g(x). F'(-1)…

A:

Q: X x+18

A: f(x)=xx+18

Q: Find the first derivative f' and the original function f. f"(x) = x³ - 12x, ƒ'(1) = 0, ƒ(1) = 10

A: Topic - Differential equations We are given f''(x)=x3-12x ,f'(1)=0 ,f(1)=10 ∫xndx=xn+1n+1+C

Q: Find f'(x) for the given function. Then find f'(4), f'(0), and f(-4). f(x) = 11/x ..... f'(x) =

A:

Q: Find f'(x) for the following function. Then find f'(4), f'(0), and f'(-7). f(x) = f'(x) = - 12 X

A:

Q: x² find f''(x). Then find f''(0) and f''(9). For the function f(x) = %3D 9 + x

A:

Q: cable below is given by: I. y = (2x*)(x*) Derivative of lII: a. y' = 14x b. y = 20x C. y' = 10x- 2x…

A:

Q: x² + 3 Find the derivative of the functionf (x) = V2x +5 3x2+10x – 13 A. f'(x) = f"(x). %3D…

A:

Q: The first derivative of a continuous function y = f(x) is y' = x(x - 9)². Find y' and then use the…

A:

Q: Find a function f that has the derivative f (x) and whose graph passes through the given point. f…

A: