Find the given higher-order derivative. 1. f'(x) = 5x? f''(x) = 2. f''(x) = 5 – - f"(#) = 3. f'(x) = 2/T fª(x) =

Q: 2+ 3x)(5 –

A: f(x)=(2+3x)(5-2x)ddx(u.v)=u.ddx(v)+v.ddx(u)ddx(x)=1ddx(5)=0

Q: Find the derivative of the function f(x) = 24x arccos(4x) – 6/1 – 16x? f'(x) =

A: To find the derivative of the function

Q: Find f'(- 2) for f(x) = In(5a? + 20x + 2) rounded to 3 decimal places. f'(- 2) =

A:

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: 6. f(x) = (5x7 + 19x³ + 2x – 12)²200 f'(x) =

A:

Q: Find the indicated derivative for the function. h''(x) for h(x) = 7x7 - 4x¯8

A: The given function is

Q: Find the derivative of the function f(x) = 10" + 10 · 9ª. f'(x) =

A: Using Derivative rule of Exponential,

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 the indicated derivative for the function. -6 h''(x) for h(x) = 9x - 9x h'(x)=

A: Given: The function hx=gx-3-9x-6.   We need to find h''(x)=? hx=gx-3-9x-6We need to find…

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

A:

Q: Find the indicated derivative for the function. 3 f''(x) for f(x) = 8x4 - 4x³ + 5x -5 f''(x) =

A: We use two of the known properties of derivative and two commonly known derivatives       (f +…

Q: Find the derivative of the function and evaluate the derivative at the given x-value. f(x) = 5x+9 at…

A: Given: fx=5x+9; x=2 For finding derivative of given function, we differentiate given function with…

Q: Find the derivative of the function by first expanding or simplifying the expression. f(x) = (5x-…

A: Differentiation of the function with respect to x helps to find the derivative of the function.…