Attempt in Progress Find the derivative of the function given below. f (x) = 5xe"

Q: 1: Using the definition, calculate the derivative of the following function. S(x)=4-x²

A: Topic:- derivatives

Q: Jse the (first principles) definition of the derivative to find g'(x) if g(x) = I+ 2

A: Explanation of the answer is as follows

Q: Evaluate the derivative of the function at the given point. y = t= -3 7t +1' y' =(Type an integer or…

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Q: Question: What kinds of function behavior would result in the function f not having a derivative at…

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Q: Dircc tion: Find the derivative of the following function: y= X1og10x %3D

A: Given function is  y = xlog10x

Q: the derivative of the function below using the quotient rule. y = Va + 8x7

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Q: 3. Determine the derivative of the function with respect to x. (Arrange your answer from highest…

A: We are given: y=(x2+1)(x3-x2)⇒y=x5-x4+x3-x2 We need to find its derivative. This can be done as…

Q: Find the derivative of the function using the definition of derivative. g(t) = 7/(t^1/2) g'(t) =?…

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Q: 1. Using the definition of derivative, find the derivative of the following functions: (a) y =xvx² –…

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Q: a. Find the derivative function f' for the function f. b. Determine an equation of the line tangent…

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Q: 4. Using the first derivative test to find the location of the local maxima of the following…

A: Given function is  f(x)= x^3 -3x^2 -9x-1

Q: OLVE THE FOLLOWING: What is the derivative of.6x* – 7x3 + 5x² ? What is f'(x) if (x) = (2x² + 1)(x²…

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Q: QI/ find the derivative of the following function 5x +2x+3 f(x) =

A: We use d(xn)dx =nxn-1 here

Q: erentiate the following function. You do not need to simplify the derivative. - 12x e f(x) x3

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Q: following

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Q: Use the definition of the derivative to find the derivative of the function f (x) 4x +3 Then find…

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Q: 100 The derivative of the function 1 is equal to ecos z

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Q: a. Find the derivative function f' for the following function f. b. Find an equation of the line…

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Q: Find the derivative of the function. (Simplify your answer completely.) 4 h(x) = 2x2 + = (x), 4

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Q: a f(x) = x² sec (ax)

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Q: What is the derivative of f(x) · g (x) in terms of f g? -1 Compute the derivative of -sin(x) · 2x…

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Q: Alternative Formula for the Derivative f'(x) = lim Z-X f(z) = f(x) Z - X

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Q: Using first principles (by definition), prove that the derivative of a constant is 0.

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Q: 23. Find the derivative of the function. f(x) = 6sin?(-5x8) %3D f'(x) = %3D

A: Here is the solution of the given problem. Derivative: By chain rule

Q: Evaluate the derivative of the function at the given point. 1 y = t= - 2 t+7' y' = (Type an integer…

A: The given function is, y=1t+7=t+7-1 The derivative of xn is nxn-1.

Q: Evaluate the derivative of the function at the given point. 1 y = ,t 3 4t + 7' y' =(Type an integer…

A: y=14t+7 take derivative y'=ddt14t+7 y'=ddt4t+7-1 y'=-14t+7-2ddt4t+7 y'=-14t+7-2·4 y'=-44t+7-2…

Q: 28. Using the method of "First Principles" and showing all steps, determine the -3 2x-1 properly…

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Q: Evaluate the derivative of the function at the given point. 1 t= -3 y = 8t +3' y' = (Type an integer…

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Q: poin Find the derivative with respect to x of f(x) = V2x + 6. f' (x) =

A: Given f(x)=2x+65

Q: 1. Using the definition of derivative, find the derivative of the follow HomeworK: functions: (a) y=…

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Q: (a) Use the Second Derivative Test to find the local extreme values of the function f(x) = (x³ +…

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Q: Find the derivative of the function f(x) x* using the definition of the derivative. No credit will…

A: Given f(x)=x3

Q: 5 Find the f" of f(x) x4 II

A: The given function is fx=5x4

Q: Using the definition of a derivative, find s′(x) given s(x)=−x2−2x+3.  Do not include s′(x) in your…

A: With the help of limit definition of derivative we have to find derivative of s(x),where s(x) is…

Q: f (x) = 1

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Q: Find the derivative of the function. (2) = earcsin{z³) f'(z) = Need Help? Read It

A: Given query is to find the derivative of the expression.

Q: Find the derivative of g(x) using first principles. Show your steps. f (x) = %3D 1+3

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Q: a. Find the derivative function f' for the function f. b. Determine an equation of the line tangent…

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Q: a. Find the derivative function f' for the function f. b. Determine an equation of the line tangent…

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Q: termine the derivative of the function g(x) In x+ 10 %3D r- 10

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Q: derivative of the function using the definition of derivative: g(t)=5/√ t

A: Given query is to find the derivative using definition of derivative.

Q: 1. The graph of function f(x) is given. Sketch the graph of the derivative function f'(x) below the…

A: We will sketch the graph of f'(x) as following. And also the question you asked is answered down…

Q: how do i find the derivative of the function ?

A: Given function is,

Q: 8. Find f '(2) if f(x) = [g(x)]*, and g(x) = x + 2

A: g(x) = x+2  f(x) = [g(x)]4  f(x) = (x+2)4

Q: 2. Using the definition of derivative, prove the following: 1 (a) f'(x) =E if f(x) = V

A: The given function is  f(x) = x1/3 To find f'(x)

Q: Find the derivative of f(x) =-2/- Type your answer without fractional or negative exponents. Use…

A: Let's find.

Q: Using the definition of derivative, find the derivative of the following functions: (a) y=F-2 (b) y=…

A: d(xn)dx=nxn-1 is basic formula

Q: Using the definition of a derivative, find f' (z) given f(x) = -r +4x +4x +2. (Do not include"f' (x)…

A: Given, fx = -x3+4x2+4x+2  We have to find the value of f'x