Verify that the following function is a composite function f(x)=g(h(x)). f(x) =V-3x2 + 2x -5 Identify the outside function g(h)=, Identify the inside function h(x)- What simple rate of change rule can be used to find the derivative of the outside function? Find the derivative of f(x). Include proper notation in your answer.

Q: Find the derivative of the function by definition 1 1- f(x) = 2x +3

A: Given f(x) = 12x+3 Consider f'(x) = limh→0f(x+h)-f(x)h= limh→012(x+h)+3-12x+3h=…

Q: Find the Derivative of the Function: 1 f(x) (5х + 1)

A: To find the derivative of the given function.

Q: 16. Use the definition of the derivative to find the derivative of the function f(x) = 3/x and g(x)…

A: Given,

Q: Find the derivative of the algebraic function.

A:

Q: 2 f(x) = ; 2x-1

A:

Q: A. Determine the derivative of the following using the Four-Step Rule 1. f (x) = 5x – 4

A: Note:- These are multiple questions and according to our company guideline we can do maximum 1…

Q: Determine the derivative of the following function by applying the quotient rule.…

A: The given function is: h(x)=ln (x2+x)x2+1 The quotient rule for the derivative is given by:…

Q: Find derivative of the function f(x)=x power3 -1/x-1

A: By applying the chain rule and quotient rule we find the derivative of a function.

Q: derivative

A:

Q: Use the Quotient Rule to find the derivative of the function.                           h(x) =…

A:

Q: Find the derivative of the function. g(x) + g'(x) = + 3.

A:

Q: Find the derivative of the function using the definition of derivative. 1 g(x) 8 + Vx g'(x) =

A:

Q: Use the General Power Rule to find the derivative of the function. g(x) = v6- 7x

A:

Q: Find q′(x) from q(x)=−5x3+x2−3x−3 using the definition of a derivative. (Do not include "q′(x)=" in…

A: Express the mathematical expression for the definition of derivative. f'(x)=Lth→0f(x+h)-f(x)h Given…

Q: Find the derivative of the function g(x) et 5x - g'(x) =

A: We have to use quotient rule for derivative and use  d/dx(ex)=ex d/fx(ax+b)=a

Q: g(x)= 4-3x 3x² + x

A:

Q: Find the first derivative for the following function. Do not simplify. a) f(x) = (2x² + 4)(x* – 3x)

A: Given: (1)     f(x) = 2x3+4x4-3x (2)     f(x) = 1+cotx  2cosx

Q: Find the derivative of the function. f(x) 1 = - x6 + (x² + 4)(x² – x – 1) + 10

A:

Q: Find the derivative of the function. h(x) = (4/x^2)+(6/x^3)

A:

Q: Use the General Power Rule to find the derivative of the function. g(x) = (9 − 5x)4 g'(x) =

A: Given,

Q: Use the Quotient Rule to find the derivative of the function. h(x) =  x2 x + 7 h'(x) =

A: Consider the provided function:

Q: Find the derivative of the function.

A: Given: fx=ln 3x To Find: The derivative of the given function

Q: Find the derivative of the function. g(x) = (1 + 5x)5(4 + x – x²)7 - g'(x)

A:

Q: Find the derivative of the function using the definition of derivative. 1 f(x) x² - 36

A:

Q: Find the derivative of the algebraic function.

A: The given function is fx=x41-2x+1.

Q: Find the derivative of the following function by definition (from first principle): f(x)= x/(x-1)

A:

Q: Give the derivative formula for the function. g(x) = 2.1* + g'(x) =

A:

Q: Use the Quotient Rule to find the derivative of the function. x2 h(x) = %3D X + 2 h'(x) =

A:

Q: 3. Find the derivative of f(x) = 5x - 7 using the formula h f(x+h)-f(x) h

A:

Q: Find the derivative of the function g(x)=x3∫x2tdt.

A:

Q: Find the derivative of (Hайдите производную) (Баллов: 2) f (x) = x(-24)

A: Given,          fx=x-2x

Q: Find the derivative of the function. g(x) = 3(4 – 7x)* g'(x)=

A: We have to find g'(x).

Q: 1+x y = 3-x2 ||

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: Given f(x)=√x + 3, find f'(-2) using the definition of a derivative. Provide your answer below: ƒ'(…

A:

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

A:

Q: Find the derivative of f(x) = 3√x- 26

A: Please refer to the image below

Q: Given f(x) = 2, find f' (1) using the definition of a derivative. x-2 Provide your answer below:…

A:

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.…

Q: Find the derivative of the following function at the indicated point from the graph of y=​f(x).…

A: Given:   f(x) = - 2x + 5    At x = 5

Q: Find the derivative of the function g(x) = .5 3x + gʻ(x) =|

A: To find the derivative of the given function

Q: Find the derivative of g(x) = 3x2-1/(2x+5) using the Quotient Rule. Simplify your answer, if…

A:

Q: 1. Use the definition of derivative to find the derivative of (a) f(x) = (x + 1)² 1 (b) f(x) =…

A: The solution are next step

Q: 9. Use the definition of a derivative change of the functions below at f(x)% = x² + 2x

A:

Q: Find the derivative of the function. F(x)= 1-6x

A:

Q: Use the definition of a derivative to the derivative of the following functions. x + 3 h(x) = 2х -1

A:

Q: Use the General Power Rule to find the derivative of the function. g(x) = V3 - 9x %3D g'(x) =

A:

Q: Find the derivative of the following function by first expanding the expression. f(x) = (2x + 5)…

A:

Q: 5- Зх f(x) = 5+ 3х

A:

Q: Use the alternative form of the derivative to find the derivative at x = c (if it exists). (If the…

A: Here we use the alternative form of the derivative to find the derivative at x=c Where…

Q: 4 b) g(x)=15x* In x

A: Given that, the function is gx=15x4 lnx.