f(x) = Vet + evi

Q: Calculate the derivative. f(x) = (√x + l) (√x - 1)

A: The differentiation is a process of finding the rate of change of one variable with respect to…

Q: Find the derivative of a power function with the negative exponent y=x−n.

A: We will use the power rule:

Q: Find the derivative of the function f(x)=arccsc(7x)

A:

Q: Find the derivative of the function f(x) = (In x)°.

A: Given that,             f(x) = lnx3 Differentiating with respect to x, we get                  f'(x)…

Q: Find the derivative of the function f(x) = x√ln x

A: Here given Use the formula of product rule of derivatives as

Q: Find the derivative of function.

A: The given function is f(x) = ln(xex+2).We have to find the derivative of this function with respect…

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

A: Differentiating with respect to x, we get

Q: f(x) = Arctan csc² ( 3x

A: Some derivative formulae: ddxtan-1x=11+x2ddxcscx=-cscx cotx Chain rule of derivative:…

Q: 1 , (x >0) 1+x

A: We need to evaluate the derivative of the following function f(x) = 1-xx1+xx

Q: y = In

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Q: Find the derivative of f(x)=e^(tanx)

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Q: Find the derivative of the function. y = In(x8)

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Q: Find the derivative of f(x) = 2e%.

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Q: Find the derivative of the function. h(x) = ex² - > x + 5 %3D

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Q: Find the derivative of the function using the definition of derivative. 1 g(x) 8 + Vx g'(x) =

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Q: Determine the derivative of f(x)=ln(x√x^2+1).

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Q: X-3

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Q: Find the second derivative of the function.

A: Given: fx=sec x To Find: The second derivative of the given function

Q: Find the derivative of the function f.

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Q: Find the derivative of the function. X-1

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Q: Find the derivative of f(x) = 10/x

A: We can find the derivative as below

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

A: The given function is f(x) = 4x Formula used ddx(ax)=axln(a)

Q: Find the derivative of the function x +5 g(x) = 2, X +6x

A: Given function is, g(x)=x2+5x2+6x  Quotient rule of derivatives is, If f(x) and k(x) are functions…

Q: Calculate the derivative. f (x) = x 2e2

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Q: Find the derivative, g' (x)

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Q: f(x( = (x( sinx

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Q: Find the derivative using the Four-step rule f(x)=x/1-x

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Q: Find the derivative of the function y=x2sinx.

A: Given: y=x2 sin x To determine: Derivative of the given function.

Q: Find the derivative of f (x) = 9ª ln (x).

A: Given: f(x)=9xln(x)

Q: (x) = ,2x+1

A: Explanation and solutions is given below....

Q: Find the derivative of [(xt1)*] /x.

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Q: Find the derivative of f(x) = xcosx. 7.

A: Find the derivative of the given function.

Q: Find the derivative of g(x) =

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Q: Find the derivative of f (x) = 1x , x = 0.

A: Given: f(x)=x at x=0

Q: Determine the derivative of h(x) = 15 arctan

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Q: Find the derivative (x) = 2 In x – Vĩ

A: Given: fx=2lnx-x   As we know that; The sum/difference rule:  f±g'=f'±g' The Power law; ddxxn=nxn-1…

Q: Find the derivative of the function g(x)=x3∫x2tdt.

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Q: Find the derivative of f(x

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Q: Find the derivative of the function. y = x2 In x2

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Q: Find the derivative of x²e*.

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Q: Find the derivative. y = x In(x) + x

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Q: Find the second derivative of the function. f(x) = sec x * "(x) = Noc

A: Please see the explanation below

Q: Find the derivative of the function.

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Q: y = csc-1 VE

A: We can find the derivative as below

Q: Find the derivative of the function using the definition of derivative. 1 f(x) V5 + x

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Q: Find the derivative of f(x)=sec(x)

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Q: Find the derivative of the function f (x) = Vx /x – 6.

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Q: Find the derivative. f(x) = 4cosx + √x

A: Given function is fx=4cosx+x. Power rule of differentiation states that: ddxxn=nxn-1 Differentiating…

Q: Find the derivative of f(x)

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Q: Find the derivative of the given function by using definition of derivative  f(x)= sec(x)

A: