2. -3 (タ() 3 ェt 十ム-st1 S()+ (7 3.

Q: Use the definition of the derivative equation (f(x+h)-f(x))/h) to find the derivative of (1/x).

A: The definition of derivative is given by,

Q: b) Use the definition of the derivative to find the derivative of f(x) = 4x³ + - at a = 1. 23

A: Given: fx=4x3+1x3; x=1 We know that ddxxn=nxn-1                                          ..1

Q: Use the quotient rule to find the derivative, h' (x), of the following function. 3x h(x) = 8 - 5x

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: Use the limit definition of the derivative to find the derivative of the function 3x – 7 f(x) = %3D…

A: The function f(x)=3x-75x2+1. We have to find the derivative of the given function using the limit…

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

A:

Q: Consider the quadratic function y=4-x². Using the limit definition, find the derivative of the…

A: To find the derivative

Q: Use the alternate form of the derivative to find the derivative at x=c, if it exists f (x) = x3 +…

A:

Q: Use the definition of the derivative to determine the derivatives of the following functions.   a.…

A: Part a,Given,         fx=1x3

Q: Use the shortcut rules to calculate the derivative of the given function. f(x)=−3x^0.75

A:

Q: Use the alternate form of the derivative to find the derivative at x-c, if it exists. f(x) = x³ +2x2…

A:

Q: compute the derivative f (x) = 9e−4x

A: Consider the function f (x) = 9e−4x

Q: Use the alternate form of the derivative to find the derivative at x=c, if it exists. f(x) = x³ +…

A: Given f(x) = x³ + 2x² + 1, c = -2 Find the derivative at x= c if exist by using the alternate form…

Q: find the derivative using the definition g(x) = 2x2 + 1

A:

Q: Use the definition of the derivative to determine whether x 2 x, f(x) = is differentiable at x = 2.…

A:

Q: Use the definition of the derivative to find the derivative of, g(x)=x3−2x2+x−1

A:

Q: 4x+1 b. g(x) 9х-2

A: Given : g(x)=4x+19x-2   To Find : Derivative of g(x) using definition   NOTE:If f(x)=uv  , where u…

Q: Use the definition of the derivative to differentiate the following function. 1 f(x) = x² – 2 -

A:

Q: Find the derivative of f(æ) = (– 72³ + 4x°) (5e* – 1) -

A:

Q: Evaluate the first derivative of the function below at (1, -2). 3x4y² - 7xy³ = 4 - 8y

A:

Q: Differentiate the following functions, using the definition of derivative. f(x) = x2 + 2 a.

A: For a small change h in x solve the limit for derivative of f(x) .

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

A: Proceed as shown below

Q: Use the definition of the derivative, to find the derivative of y (x) x +1 x + 4 (x + 4) 1 (x + 4) 3…

A:

Q: Find the derivative using the first principle  F(x)= (x-1)(x-2)

A: Given F(x)=(x-1)(x-2) To find the derivative using the first principle From the first principle, we…

Q: Use the Quotient Rule to find the derivative of the function. 3x - 7 g(x) = %3D x² - 1

A:

Q: Use the definition of the derivative to find the derivative of each function with respect to x. 1)…

A: Given: The functions in x is given.         1) fx=-4x-22) y=4x2+13) fx=-3x2+4 Objective is to find…

Q: Find the derivative of the function f(x) = / (x³ + 7x) by using the definition of the V derivative.

A:

Q: Use the formula  to find the derivative of the function

A: Givenf(x)=1x+2To find f'(x)

Q: function with respect to x. a. f(x) = -4x – 2 b. f(x) = 3x² + 4 c. y = 3x² + 3x + 3

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

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

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: Evaluate the second derivative of the function below at (1, -2). y² = x³ = x + 1 -

A: To evaluate the second derivative of the function at the given point.

Q: Use the alternative form of the derivative to find the derivative at x = c (if it exists). (х) - х2…

A:

Q: For the implicitly-defined function, calculate the derivative with respect to x. + y74 = -6y ,3/4

A:

Q: Use the quotient rule to find the derivative of the following. 2 x²-5x+1 y= 2 X +5 y'=0

A: derivative

Q: Use the definition of the derivative to show that the derivative of y = f(x) = 2x² is f'(x) = 4x.…

A: Given that: y=f(x)=2x2

Q: f(x) = Vx2 + 5x-

A: We have given the function;

Q: Let f(x) = 4x + . Use the definition of the derivative to find f'(1).

A: Solve

Q: Find the derivative of the function below: y = In(x7 + 5)

A: Given,           y=9xlnx7+5

Q: .Find the derivative of f(x) if ƒ(x) = x7 + 10x5 – xi – 4

A: NOTE-Since you have asked multiple question, we will solve the first question for you. If youwant…

Q: Calculate the derivative of the function below using the quotient rule. y = 210 √x + 5x8 f(x) = and…

A:

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

A: We will solve by using alternative form of derivative as shown below

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

A:

Q: Use the definition of the derivative to find fx) where f(x)=- 1-x? 1

A: To find the derivative of f(x) using the definition of the derivative.

Q: Calculate the derivative of the function below using the quotient rule. 9x y = 5x + 8 f(x) = and…

A: Given query is to find the derivative using quotient rule.

Q: Find the derivative of the function f(x) = /(x³+ 11x) by using the definition of the derivative.

A:

Q: • 5x²+1 (t²-t) dx F(x) =

A:

Q: find the derivative of the fuction. f(x)=(x^3-3)/(x^2-4)

A: Consider the given function.

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

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…