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

Q: f (x) = (x² – 1)**1

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Q: Use the derivative to find for which values of c the function 1 f(x) = CI+ x2 +3

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Q: 2 y = 3x2

A: Power rule of derivative is defined as dxndx=nxn-1. Difference rule of derivative is defined as…

Q: Find the derivative of the function. g(x) = ex³ - 2x g'(x) =

A: The function is given by gx = ex5-2x Formula Used: The chain rule of the derivative is ddxfgx =…

Q: Use the definition of the derivative to find the derivative of the following functions. 1. f(x) = 6

A: The derivative of a function y=f(x) is given by f'x=limh→0fx+h-fxh. The given function is fx=6.

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

A: Given f(x) = 3x then f'(x) = limh→0f(x+h)-f(x)h= limh→03x+h-3xh= limh→03x-3x-3hx(x+h)h=…

Q: find the derivative of the following functions

A: Consider the function  g(x)=6x−2xex

Q: Use the alternative form of the derivative to find the derivative of the function below at x = c (if…

A: The function f(x) = x3 + 8x, we have to find the derivative of this function at c = 5 using the…

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

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

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Q: Find the second derivative for the functions defined as follows ƒ(x) = (x2 - 1)2

A: Given function: fx=x2-12 fx=x4-2x2+1 Differentiate the equation w.r.t "x"…

Q: Find derivative of the following function. 7x -7x + e y = X

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Q: Use the alternative form of the derivative to find the derivative at x = c (if it exists). f(x) = x2…

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

A: Given that f(x)=x2-9 , c=8 find the derivative at x=c by using alternate form of derivative

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

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

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Q: Find the derivative of the function f(x) = 53x

A: Here given function fx=53x

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: what is the derivative of the following function; y = x 2e -3x

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Q: Use the definition of the derivative to find the derivative of the function f(x) = v2x + 1, then…

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

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

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

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Q: For what values of x is the derivative of x equal to the derivative of x2 + x?

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Q: Find the derivative of the function f(x) = 34x

A: The given function is fx=34x.

Q: y = e(-x2+3x-4 )

A: Given: y=e-x2+3x-4

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: Use the alternative form of the derivative to find the derivative of the function below at x = c (if…

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Q: find the derivative of the function h(x)=x(7+7x)

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Q: Find the derivative of ( Ⓒ) (05'(x)

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Q: Find the derivative of the following function, 1 f(x) = e* + In(x). x² -

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Q: Find the derivative of the following function. x* +7 h(x) = 2x -7 h'(x) =

A: We differentiate  the above function.

Q: Use the appropriate Derivative Formula for the algebraic function below. x2+1 2. y = x2-1

A: y=x2+1x2-1In this we use quotient rule QUOTIENT RULEy=uvdydx=v.dudx-udvdxv2apply this rule in given…

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…

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

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Q: 4. x – 2x² +x-1 g(x)=x

A: topic -derivative note : as per bartleby guidelines, we are supposed to answer only first question…

Q: Find the derivative of the following function by applying the appropriate derivative rules. f(x) =…

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Q: Find the derivative of the following function. f(x) = 8x° + 7x

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Q: Find the derivative of the following function 1. f(x) = 5x' - 32x + e?

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

A: Given: y= -2x+5

Q: Use the definition of the derivative to find df/dx. f(x) = x/(1-3x)

A: Given, function

Q: Use the alternative form of the derivative to find the derivative of the function below at x = c (if…

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Q: Find the derivative of the function f(x) = 3x−1

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Q: Find the derivative of the following function. 8x +1 h(x) = X +7

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

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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.