For  f(x) = square root 7x  and  g(x) = x2,  find the following. (a)    (f + g)(x) (b)    (f − g)(x) (c)    (f · g)(x)

Q: Find the first and second derivative if y = x3+3x2+7

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

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Q: Find (f-1) (a). f(x) = 5x3 + 3x2 + 6x + 7, a = 7 (F-1)(a) =

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

A: topic - double derivative

Q: factor this derivative: 2/3x-1/3(x+4)2+x2/3 2(x+4). must show all steps

A: Solution -    Given equation -  f(x) = 23 x-13x+42+2 x23(x+4) = 0 f(x) = 2 x+423 x13+2 x23(x+4) = 0…

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

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Q: Find f(-3) for f(x) = x² – 3x + 3

A: Given f(x)=x2-3x+3 To find f(-3) we put x=-3 in the above function.

Q: 1. f(x) = x* – 27x² – 14x + 120 -

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Q: What is the result of completing the square for f (x) = x2 + 1?

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Q: Find the extreme values of f(x) = 5 - 2r2, IS1 lx+ 2, x> 1.

A: Given function is defined in two intervals  So firstly we will discuss  for  x≤1 f(x)=5-2x2 we have…

Q: For the function f(x) = (5x² − 2)4 determine the second derivative in factored form.

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Q: 3x² (9 – x² ) 2 2 (9 — 3х2)

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

A: Topic:- derivatives

Q: 5. g(x-3)= же Ex7-3x х<3 x73

A: Explanation of the answer is as follows

Q: If f(x) = 6 + 7x – 2x?, find f'(2). -

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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: 4. f(x) = 1-x 2x²-5x-3

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: artwork has a cost function

A: Cost function C(x)=24x+300 Revenue function R(x)=75x Where x is the number of item made We know…

Q: If f(x) = 2x^2 - 10x - 33 , what would the derivative f’(x) be?

A: Given : fx = 2x2-10x-33

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

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

Q: Find the derivative of f(x)= 5x2 (4+5e")?

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Q: of f (x) = 1³ + 2z² + 3x + 6?

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

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Q: Let f(x) = 6x/x2+3. How do I solve if this is even, odd, or neither?

A: Algebraically, f is even if and only if f(-x) = f(x) for all x in the domain of f. Algebraically, f…

Q: Find the derivative of the functionf(x)= 9x² + 4x +6, using the definition of the derivative,

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

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Q: Find (f-1)'(a). f(x) = 4x3 + 3x² + 5x + 2, a = 2 (f-1)'(a) =

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Q: 5. find the derivative 2x (7) + 6x (7) - 2x (²) + 210 Enter your answer

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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: (2x³ – 5)(3x² +1) f(x)= x +7

A: Derivative problem.....

Q: What is the derivative of 6x/((x^3)+3)^2? I think I need to factor out an ((x^3)+3) from the…

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Q: Find the second derivative of the polynomial function y=3x4−2x3+4x2−5x+1.

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Q: Evaluate f (2) for the square root function f(x) = V5x + 6

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Q: I want to know how to find the value of t ( ۱ - له ره + X \ = (2 + ) ه .. -۱۱- ۱ (۱۰) اهره + + t

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Q: 8. How many times is x= 1a root of f(x) = 2x -7x + 9x -5x +1? How do you know?

A: Solution :-

Q: Find (f-1)(a). f(x) = 5x3 + 4x² + 6x + 6, a = 6 (F-1)'(a) =

A: We have to find out

Q: Find the derivative of the function. f(x)=6x2(9-8x)4

A: Use the product rule of differentiation: fx=ux.vxf'x=u'x.vx+ux.v'x

Q: f(x)= 3 √x related to the graph of the square root function, √x

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Q: Find the second derivative of the polynomial functiony=3x4−2x3+4x2−5x+1.

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Q: Find (f-1)'(a). f(x) = 5x3 + 4x2 + 6x + 1, a = 1

A: Topic:- application of derivatives

Q: Find the second derivative of the polynomial functiony=2x5+3x4−4x3+x2−6.

A: Given Data The polynomial function is f(x)=2x5+3x4-4x3+x2-6.   Differentiate the polynomial function…

Q: Solve for f(-1). f(x) = -3x + 3 %3D

A: The function is given as fx=-3x+3 The objective is to find the value of f(x) at f(-1)

Q: Use the definition of the derivative to solve.

A: To determine the derivative of the function.

Q: Use the 2nd derivative to find the inflection point for f(x) = x³ – 6x² – 4x + 3

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Q: derivative of x2+8x divided by the square root of x4+7

A: Here division rule of differenciation we can find the derivative of required function.

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.