Find the derivative of each of the following functions, first by using the product rule, then by multiplying each function out and finding the derivative of the higher-order polynomial. Post both solutions using the Canvas Equation Editor along with explanations of the intermediate steps that demonstrate your understanding of the derivative

Q: Find the derivative of the function. (x) = (2x – 7)“(x²+ x + 1)5

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Q: Use the product rule to find the derivative of the following. y = (4x2 + 5) (3x - 2)

A: We have given function y=4x2+53x-2

Q: Find the derivative of the function. Simplify and express the answer using positive exponents only.…

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Q: Find the derivative of the function. Simplify and express the answer using positive exponents only.…

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Q: Plot the zeros of each polynomial on a line together with thezeros of its first derivative. y = x3 -…

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Q: Plot the zeros of each polynomial on a line together with thezeros of its first derivative. y = x2 -…

A: Given  The polynomial is  y = x2 - 4

Q: Compute the derivative of each of the following functions in the two ways given. F(x) = (1 + 2x)³ by…

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Q: Use the definition of the derivative to find the derivative of g(x) = x3 – 2x² + x – 1. %3D

A: NOTE: Refresh your page if you can't see any equations. . substitute x+h for x

Q: How to find derivative of polynomial?

A: To find the derivative of any polynomial function use this formula:       the derivative of…

Q: Find the derivative of 3 4x 2 - (²x - ²)² 2x You should leave your answer in factored form. Do not…

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Q: Find the derivative of the function. f(x) = In(4x + 5)

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Q: Find the derivative of the function. f(x) = square root of 7x+1

A: To find the derivative of function f(x)=√(7x+1)

Q: find the derivative by using the definition of a derivative.f(x)=-4x^2-5x-2

A: we have given,

Q: Plot the zeros of each polynomial on a line together with thezeros of its first derivative. y = x2 +…

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Q: Use the product rule to find the derivative of the following. : y = (5x2 - 1)(4x + 3)

A: Given: y=5x2-14x+3 Product Rule: f.g'=f'.g+f.g'

Q: Use the DEFINITION OF A DERIVATIVE to find the derivative of the function. 5) f(x) = 2x2 at x 1 %3D

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Q: Find derivative of  23x and the 3x  is raised to the power of 2 also

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Q: Let fx) = 4x2 - 2x. (a) Use the definition of derivative and the procedure given in this section to…

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Q: Find the derivative of h(x)=(-2x-5)3 (2x-4)5you should leave your answer in factored form. Do not…

A: Compute the derivative of h ( x ) as follows.

Q: please find the derivative of the below using product rule and label all parts of the product…

A: Given : g(x) = 4x(x³ - x)

Q: Find the derivative of the function. Simplify and express the answer using positive exponents only.…

A: Given function is:

Q: Use the product rule to find the derivative of the following.:y = (2x - 5)2

A: we have to use the product rule to find the derivative of the given function. y = (2x - 5)2…

Q: Find the derivative of the function by definition. 2- P0-x

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Q: Find the derivative of in two ways: first by applying the product rule and second by expanding the…

A: Applied product rule and found f'(x).

Q: Use the product rule to find the derivative of the function f ( x ) = ( x 2 - 3x + 2 ) ( 4 x 3 - x 2…

A: Given- fx=x2-3x+24x3-x2+4 To find- The derivative of the above function. Concept Used- The product…

Q: find the derivative by using the definition of a derivativef(x)=4x^2+1

A: Formula used:The derivative of f(x) with respect to x is the function f'(x) is

Q: Find the derivative of the function. Simplify and express the answer using positive exponents only.…

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Q: Use the definition of the derivative to find the derivative of f(x) = x^3-4x^2+x

A: the given function is: f(x)=x3-4x2+x

Q: Find the derivative of the function, Simplity andexpress the answer positive exponents only. using

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Q: Use the Product Rule to find the derivative of the function. f(x) = (3 − x) (7/x2-5)

A: We will use product rule to solve the given problem.

Q: Plot the zeros of each polynomial on a line together with thezeros of its first derivative.y = x3 -…

A: Axis interception points of x3-33x2+216x:  X Intercepts: 0, 0, 9, 0, 24, 0, Y Intercepts: 0, 0

Q: Find the derivative of the function by definition. 1- V2x+3

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Q: Can you please help me find the derivative of f(x)= (2x-3) / (x3-8x+9)

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Q: find the first derivative of (x^5-6x 3+10x/x Short answer Srat

A: Use the quotient rule of derivative to differentiate the function.

Q: Calculate the derivative by expanding or simplifying the function.

A: To find the derivative of the given function.

Q: Find the derivative by applying product rule and by multipliyng the factors [(x2+1)(x+5+(1/x))]

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Q: 1) Use the definition of the derivative to calculate the derivative off(x) = 3x2-5x+ 1

A: Find the derivative of f (x) = 3x2 –5x +1.

Q: Find the derivative of the function. f(x) = 7x2 In(9x)

A: To find derivative of given function.

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

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Q: find the derivative of the function using only the definition.f(x)= 16x^2-3x+12

A: Initial Calculation:The variable f(x) is a function of x. The derivative of f(x) found with respect…

Q: Find the derivative using the definition for the function f(x) 4 +8x-5x2.

A: Limit defination of derivative f'(x)=limh→0f(x+h)-f(x)h

Q: Find the first derivative of:   f(x) = (8x3 + 7x-2 -4)5 cot(5x) Do not need to simplify

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Q: Use the product rule to find the derivative. Simplify your answer as much as possible. f (x) = (x5 +…

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Q: Use the Product Rule to find the derivative of the function. f(x) = (5x − x3)(9x + 8)

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Q: Use the Generalized Power Rule to find the derivative of the function. f(x) = (3x + 2)5(3x − 2)6

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Q: Find the derivative of  f(x) = 5x^3-7x+1

A: Given data: The given function is f(x)=5x3-7x+1. The expression for the derivative of the given…

Q: Find the derivative of the function by using the Quotient Rule. Simplify your answer. f(x) =  x…

A: Consider the given function

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.