Given the function f(x)=5x-x^2, express the value of f(x+h)-f(x) / h in simplest form

Q: The height of a projectile fired vertically into the air (neglecting air resistance) at an initial…

A: The height of projectile f(x) in feet is given by f(x)=96x-16x2, where x is time in seconds. The…

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 second derivative of the function.        f(x) = 4x5 − 2x3 + 5x2

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Q: Find the second derivative of the function. f(x) = 4x3/2

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Q: Find the second derivative of the function. f(x) = (3x5 + 6)6

A: topic - double derivative

Q: What is the derivative of 2.x + 3 f (x) = 2x2 + 7x + 6

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Q: Find the first derivative 10x6/5^2

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Q: Find derivative: (b) y= -3 -3x4

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Q: find the derivative  f(x)= (2x-3)6(3x+4)

A: Given function is f(x)=(2x–3)^6(3x+4). Formulas used:

Q: Victaria Lop. 2. f(x) = x – 3x – 10 2 Зх - -

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Q: Find where the function f(x) = 3x4 − 4x3 − 12x2 + 5 is increasing and where it is decreasing.…

A: increasing and decreasing intervals of fucntion  fx=3x4 − 4x3 − 12x2 + 5

Q: The first derivative of f(×)=(5x4 - 6x)1/3

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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: 4. Solve x(x + 6)(x – 8)²(x – 1) > 0 by sketching. Express your answer using interval notation.

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Q: Solve f(-4) for f(x) = -4x+ 9 %3D f(-4) = [ ? ] Enter

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Q: . Find the first, second, and third derivative of function f(x) = 3x5 – 2x³.

A: Topic:- derivatives

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: 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:   f(x) = (4x3-7x+9)5

A: Given:  fx=4x3-7x+95 To Find: The derivative of the given function

Q: The derivative of f(x) = (4x3 +6x2 – 5)4 -

A: We havefx=4x3+6x2−54    ..........1

Q: If f(x) = -2x^3 + 5x^2 - 3x - 3,  Find an expression for the second derivative f"(x).  f"(x) =

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Q: calculate the derivative. f (x) = 4x5/3 − 3x−2 − 12

A: To find the derivative of: f(x)=4x53-3x-2-12 Solution: f(x)=4x53-3x-2-12 Differentiating both sides…

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

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

Q: Find derivative of f(x)=(2x2+5)4

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Q: Find the derivative. 2 f(x) = 4√√8x² +9 f'(x) =

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Q: Find the second derivative. 14) y = 4x² + 12x + 4x-3

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Q: Find derivative of f(x)=2x-7

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Q: Find the second derivative of the function. f(x)= [3x3+7]7

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Q: Find the second derivative of the function. f(x) = 15x5/2

A: Consider the following formula: ddxxn=nxn-1 Consider the following function: fx=15x52 Differentiate…

Q: Calculate the derivative. f (x) = 4x5/3 − 3x −2 − 12

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Q: Graph f(x) x'- 3x-9x + 2. 3r2

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Q: Find the derivative of f. f(x) = 3x4 + 8x3

A: f(x)=3x4+8x3differentiating both sides w.r.t. xf'(x)=34x3+83x2f'(x)=12x3+24x2

Q: (2x³ – 5)(3x² +1) f(x)= x +7

A: Derivative problem.....

Q: Find the derivative of the function. 6x - 7x2 + 4 f(x • x³ - 3 f'(x)

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Q: Find the function of the derivative f'(x)= -12x+5 and with the graph passing through (-2,5)

A: Given, f'(x)= -12x+5

Q: How can I solve the domain of this function?

A: Clearly we can see that the given function is a polynomial of order 2. And we know that polynomial…

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: find horizontal and vertical intercept of f(x)= -2|x+1|+6 and graphing the function

A: The given function:

Q: Differentiate the equation. F(x)=x^4+3x^3+2x

A: We need to evaluate the derivative of the following function F(x) = x4 +3x3+2x Formula Used : ddxxn…

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

A: To find the derivative of given function

Q: Use the definition of the derivative to solve.

A: To determine the derivative of the function.

Q: Use the second derivative test to find the extreme values of the function f(x) = x³ – 3x? – 24x . -

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

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Q: Find the second derivative of the function. f(x) = 7x3/2 f "(x) =

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