Let f(x) = 3x4 – 8x3 + 6x?.

Q: Verify that f'(x) = 18x² – 9, where f(x) = 6x³ – 9x – 9.

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Q: Find the interval in which the function given by y = 4x3 - 6x2 -72x + 30 is decreasing.

A: Given: y=4x3-6x2-72x+30

Q: Let f(x)= (x^3+3x+2)^2 f'(5)= ?

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Q: Find the value of f(x) = 12x6 - 8x4 + 1 at x = 4.

A: f(x) = 12x6 - 8x4 + 1 at x = 4

Q: If I have f^-1=2x-4 how can I find f(x)?

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Q: What is the length L of the interval on which the function f(x)=x3−6x2−15x+8 is decreasing?

A: Given

Q: Is f(x)=x^2-2x even or odd ?

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Q: Find the quotient x+h)-f(x) for f(x) = 7x – 3x²

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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: 2. Find f(3x) if f(x) = 4 – 2x². (

A: We have to find f3x if function is given as: fx=4-2x2 In this case we just have to replace the value…

Q: Calculate R3 and L3 for f(x) = x2-8x+2 over [1,4] .

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Q: Find the domain of f(x) : V=7x – 9 -

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Q: 2. f(x) = 9x2 - 1 at x = 1

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Q: can you explain for what values of x is f(x)=x3-9x2+9x concave up?

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Q: # 3) Find f(x) if f'(x) = 9x2 – 12x – 5 and f(2) = 4 -

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Q: If f(x) dx = 4x7 – 6x5 + C, find f(x). %3D -

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Q: 2) Find f'(x) if f(x) = 6x¬2 + 8x3 + 11x.

A: We have to find f'(x) where f(x)=6x-2+8x3+11x.

Q: Where is f(x)%3D4(x-2)+2(x-2) increasing?

A: Here, fx=4x-212+2x-232

Q: Apply the three-step method to compute f'(x) where f(x) = 9x² + 2. %3D

A: Given  f (x) = 9x2 + 2 .

Q: If f(x) = ln ( v3x² +5 ), what is f'(x)?

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Q: What is f(x^2)? *

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Q: Find the point of f(x) = 2x3 - 9x2-17x - 3 is at [0, 00) on which concavity changes. %3D

A: We draw graph of given function.

Q: If f(x) = 5x6 - 2x² then [f(x)dx=

A: The given function is: f(x)=5x6-2x4

Q: If f(x) 6e² – 8x* + 3, find f'(x). %3D

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Q: Find f. f"(x)  =x6 - 4x4 +x +1

A: ∫xndx = xn+1n+1+C

Q: Find f(x-2). f(x) = 2x² – 5x g(x) = 3x³ 2x-13x+ 18 2x2 - 5x + 18 8x+3

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Q: What is f(x)* h(x) if f(x)=6x²-2X+2 and h(x)=, 1?

A: f(x) = 6x2-2x+2  h(x) = 1/2x

Q: Find f'(x) of f(x) =3 + 2x²

A: Consider the given function fx=3+2x2   Differentiate the given function with respect to x.…

Q: What value of b completes the function f(x) = −x2 + bx + 1?

A: We have to find the value of b that completes the function f(x)=-x2+bx+1.

Q: The constant term of f(x)=x2+4x3+1 is 1. How can you say that 1 is the constant term?

A: fx=x2+4x3+1

Q: If f (x) = 3x + 7, find: %3D f(-2) = [ ? ]

A: Given,     f( x ) = 3x + 7

Q: Find f(0), if f(x)=3 – 5x + x2.

A: Given function is, fx=3-5x+x2. The objective is to find the f0. Function is described as the special…

Q: я f (x) = (x2 + 3x)³ . (4x3 - 5x) 7 - -

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Q: 2 Let f(x) = V5x² + 4x + 8 f'(x) = f'(3) =

A: Given : fx = 5x2+4x+8

Q: Differentiate from the first principle f(x) = x² +6x² + 3

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

A: inverse function derivative

Q: Find the inflexion point(s) of f(x) = x²-3x²³

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Q: 10. f(x) = 2x3 – 9x² + 12x – 3 - -

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Q: Differentiate f(x) = x² – 3x by first principles“

A: Given f(x)=x2-3x

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

A: Topic = Functions

Q: If f(x) = x2 - 3x + 4, find f(-2). %3D

A: Given that f(x) = x2-3x+4. So,          f(-2) = x2-3x+4                 = (-2)2-3(-2)+4.…

Q: f(x) = 2x² + 8x at the point x = 2. %3D

A: Given data:     The given function is: f(x)=2x2+8x   The expression for the differentiation of the…

Q: Find the deivative of f(x) = Sec(4x72x)

A: Solution: The objective is to find the derivative of the given function

Q: 1 d.x x/1+ x6

A: LetI=∫1x1+x6dxPut1+x6=u                         (1)squaring on both side1+x6=u2x6=u2-1…

Q: - f(x) = 4x² – 10z + 11, 0 < ¤ < 7.

A: fx=4x2-10x+11;0≤x≤7 Differentiate the above function with respect to x. f'x=ddx4x2-10x+11=8x-10…

Q: Find f. F"(x) = 20x³ + 12x²+ 4, f0) = 4, ( 1) = -1 Ax) =

A: Let us denote y = f(x). So,…

Q: let f(x)=√(2+2x)  f′(4)= ?

A: The function is

Q: Evaluate f dx √1-16x²

A:

Q: Find f'''(-3) f(x)=4x^5-3x^4+5x^2-15

A: