For the function f(x)=5x^2, evaluate f(x+h)

Q: use the Product Rule to calculate the derivative. f (x) = (3x − 5)(2x2 − 3)

A: use the Product Rule to calculate the derivative. f (x) = (3x − 5)(2x2 − 3)

Q: Find the slope of the graph of the function at the given point.

A: Given: fx=3x2-4x Given point is 1, -1

Q: Find derivative of f(x) = x^5-7x^3+8

A: We have to find derivative of  f(x) = x5 - 7x3 + 8 We know that  If f(x) = xn then  f'(x) = nxn-1…

Q: Differentiate the function using the three step rule. Show your solution. f(x)=(x)/(√(x-4))

A: You must have idea about three step differentiation method.

Q: Find the derivative of the function by quotient rule. f(x) = 3x+7 5х-2

A: Use the quotient rule to differentiate the given function as in next step.

Q: Find the second derivative. f(x) = 6x10 − 17x5 − 12x3 + 5

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Q: Differentiate the function using quotient rule. 3x y = 2х + x2

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Q: Use the chain rule to find the derivative of f(x) = 4/2x° + 7x7

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Q: Use the definition of the derivative f 19. f(x)= 6x² – x 20. -

A: “Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: FX) = Secx

A: Given function to be differentiated is : F( X ) = sec X2 In order to differentiate above function,…

Q: Find derivative of f(x) = (x^3-6)(x+5)

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Q: Find the derivative of the function by quotient rule. f(x) = 3x+7 У 5а-2

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Q: Find the point of inflection of the graph of the function. f(x) Exvx + 6

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Q: Find the slope of the graph for the function f(x) = 3sinx + 11 at the point (7,11)

A: The function is f(x)=3 sin(x)+11

Q: Find derivative of f(x) = x^3-5x^2+6x-7

A: The given function is f(x)=x3-5x2+6x-7. To find the derivative of the given function, apply the…

Q: Find derivative of f(x) = 5x+(7/x)

A: The function is fx=5x+7x.   Differentiate the function with respect to x.…

Q: How can the functions be multiplied by constants?

A: Multiplication of the function by a constant can be done by multiplying the output of the function…

Q: Apply the second derivative test to find the relative extrema of the function fx) =x*-18x-3

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Q: Find the derivative of the function using shortcut rules. Simplifyfor extra credit. f(x)= (x2+ 4x)5

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Q: Calculate the derivative. f(x) = 2x 3 - 3x2 + 2x

A: The function is given as fx=2x3-3x2+2x Differentiate the above function w.r.t 'x'…

Q: Find the derivative of f (x) = 4x-10x2+ 8x-2

A: To solve the following problem

Q: find the derivative  f(x)= 3sec3x+4sec2x-6

A: Obtain the derivative of the function f(x) as follows.

Q: Differentiate the function.   f(x)  =π2

A: Given:fx=π2

Q: Calculate the derivative. f(x) = (9x 5/2 - 2) / x

A: Given,          fx=9x52-2x

Q: f(x) = (4x³ + 6x +1)°

A: To find the derivative of,  f(x) = (4x3 + 6x + 1)9

Q: How do you find the derivative of f(x) = 5 - |x-5| ?

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Q: The perimeter of a rectangle is 200 meters. Express the area as a function of the length, ?.

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Q: Differentiate the function. f(x) = 270 "(x) =

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Q: Find the derivative of the funcion. y=x-17 +63x+6

A: y = x3-17x2+63x+6 y'=dydx=ddxx3-17x2+63x+6 Here we are gonna use the formula  ddxxn=nxn-1

Q: Differentiate the function.

A: The function given is, y=xx-1 Differentiate the function,  Apply the product rule ,…

Q: Find the derivative of (x-x^4)/(7/x^2+6/x^3)

A: Formula used:

Q: 3x y = 2х + x2

A: The given function is y=3x2x+x2 quotient rule: fg'=f'·g-g'·fg2

Q: Find the fifth derivative of  f ( x) = 3 x 3 - 7 x 2 + 6. Use correct notation.

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Q: What is the end behavior of the function as x approaches negative infinity and positive infinity

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Q: Find the derivative of the function. f(x) =-4x2+x+ 6

A: Consider the function  f(x)=-4x2+x+6

Q: 2) y=5x² -9x³

A: Using derivative of power function & subtraction rule of derivative.

Q: f '(x) by using the definition of the derivative. f(x) = 4 – 6x2

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Q: Use the Product Rule to calculate the derivative. f(x) = x³ (7x² + 1) %3D

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Q: Differentiate the function. y = (2x* - -x+1) (-x* +3) y' = D

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Q: Find derivative of  f(x) = 3x5+5x-120

A: To find the derivative of given function

Q: Find derivative of f(x) = x^4-7x^2+8

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Q: Find the points on the graph of the function that are closest to the given point. f(x) = x², (0,8)…

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Q: Find derivative of f(x) = x^4+8x-2

A: We have to find the derivative of  f(x) = x4 + 8x - 2 We know that if  f(x) = xn then  f'(x) = nxn-1…

Q: Find the derivative of f (x) 2x5 9x f'(x) =

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Q: Calculate the derivative. f (x) = 2x3 − 3x2 + 5

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