The function f(x) = 4x + 4 is one-to-one. Find an equation for f'(x), the inverse function. f (x)= | D (Type an expression for the inverse. Use integers or fractions for any numbers in the expression.)

Q: Find the second derivative of the function. f(x) = 205√x

A: We use the power rule to find the first derivative

Q: Find the second derivative of the function.      f(x) = (x2 + 3x)/(x − 4)

A: Given f (x)  = x2+3xx-4we have to find second derivativerule used :-Outient rule :- if there is a…

Q: Find the second derivative of the function. f(x) = 5x + 26x F"(x) =

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Q: Find the derivative of the inverse function for y=2x3−1 and calculate its value at x=2.

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Q: Find the second derivative of the function. 10. f(x) = 4x3/2 11. g(x) = x-1 12. h(x) = sec x

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Q: 2) Find the derivative of each function f(x) = Vx + 5x+6 %3D а) b) f (x) = 6x'(5x² +3x)10

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Q: Find the derivative of the algebraic function.

A: To Find the derivative of the algebraic function. f(x)=x2+5x+6x2-4

Q: Find the second derivative of f(x) = 2x+1/x-4

A: Here, we need to find the second derivative of f(x)=2x+1x-4. So,           f''(x)=2x+1x-4''…

Q: Find the derivative of the inverse function s(x) if f(x) = -x+ 1 1 r + 1

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Q: Find the derivative of the inverse function to f(x)=ex-e-x

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Q: 1. Find the derivative of f(x) if f(x) = x7 + 10x5 – x² – 4

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Q: Given f(x) = x² + 1, x 2 0, Find the derivative of the inverse at the point (5, 2) (do not find f-1)

A: Let's find.

Q: Find the value of x , for which the second derivative of the function f(x) = x - 3x² is equal to…

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Q: The derivative of the function f(x) = 4x-1 is

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Q: Find the second derivative of the function f(x) = 5x2(x + 47) %3D

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Q: If f(x) = 3 + x + ex , find ( f-1)' (4)     The derivative of the inverse in 4

A: The given function is,                  f(x) = 3 + x + ex We want to find the value of (f-1)'(4). We…

Q: Find the third derivative of the given function. f(x) = (3x + 4)³

A: The given function f(x)=3x+43

Q: Give the derivative formula for the function g(x) 2.1X 2 g '(x)

A: The given function is

Q: Find the derivative of h(x) = x 2(9x + 2).

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Q: x=1), 3. Y = In (x-1), (х-2)2

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Q: Find the second derivative of function, and then find ƒ″ (1)  and ƒ″ (−3) .

A: Given, f(x)=9x3+1x On differentiating both sides w.r.t x we get:…

Q: Find the second derivative of the function h. h(x) = (10 – x2) (5x + 17)

A: Here, h(x)=(10-x2)(5x+17)

Q: Find the third derivative of the function f(x) = (1) / (2x-1)

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Q: Find the second derivative of the function. f(x) X - 9 f "(x) =

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Q: Find the second derivative of f(x) = x+2 X- 2

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Q: Find the derivative of the function f(x) = x(4−3x)

A: Given: fx=x4-3x we know that ddxu.v=vdudx+udvdx

Q: Find the second derivative of function, and then find ƒ″ (1)  and ƒ″ (−3) .

A: given,        fx=1-2x4x+5

Q: From a function f(x) = 5000 x2 - 7000x + 12000   Find the first and second derivatives

A: dxndx = nxn-1 dcfxdx = c df(x)dx ; where 'c' is constant.

Q: Find the derivative of the function f(x) = 5x-3 + x² + 14. f'(x) =

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Q: Find the second derivative of the function.

A: Given: f(x)=x2+3xx-4 To find f''

Q: Find the first and second derivatives of the function. f(x) = 10x10 + 7x7 - x f'(x) = f"(x) =

A: We can solve the problem by doing the derivative of the function.

Q: Find the second derivative of the function.        f(x) = x/(x − 1)

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Q: y = In (*+1) °(x+1), (x+2)3

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Q: Would you be able to find the derivative of the inverse of this function. (x^3+4x+4)^1/2=y.     a=3

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Q: Find the derivative of the function. h (x) = x (4 + 4x)

A: Given : hx=x4+4x

Q: Find the second derivative of the function f(x) = 1/(11x − 6)

A: Consider the function  f(x)=111x−6

Q: Find the second derivative of the function. f(x) = 9(x2 − 1)2

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Q: Find the second derivative of the function. In(x) f(x) = + 6x? -4x° – 18xln(x) + 3-6 ln(x) + 12…

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

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Q: Find the derivative of the function. 9x + 1 h(x) = In 4х - 2. h'(x) =

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

Q: Find the first and second derivative of the function. f(x) = 4x – 5x/10 f '(x) %3D f "(x) =

A: Given : f(x) = 4x - 5x9/10

Q: Find the second derivative of the function. f(x) x x-2 f"(x):

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Q: Find the second derivative of the function.   f(x) = x2 + 7x − 4

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Q: #12) Find the derivative of the function f(x) = 35x2-1

A: The solution of the problem is given in the next step.

Q: Find the second derivative of f(x)=(x^2-3)/x

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Q: Evaluate the second derivative of the function at the given point f(x)=9/√x+9    (0,3)

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Q: Find the derivative of the inverse function for y=x3−3x and calculate its value at x=−2.

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Q: Suppose the first derivative of a function is f'(x) = (x- 30)(19x+ 1). The function f is decreasing…

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Q: nd the derivative of th

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Q: Find the second derivative of the function f(x) = 5(2 − 7x)4

A: Find the first derivative as shown below: f'x=ddx52-7x4        =42-7x3ddx2-7x        =5· 42-7x3-7…

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: