(3) Let y = f(x) = x2 +1, evaluate the derivative of the inverse function x = f-(y) at y = 2. %3D

Q: 3. Use logarithmic differentiation to find the derivative of y with respect to the given independent…

A: we have to find the derivative of y by using logarithm.

Q: 4. Find the derivative of the function f(x) = (sin x)c0s ". COS x

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Q: Question The derivative of the function y e(tanx-2 vx) 1s:

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Q: Find the derivative of the function. f(x) = ln(5+e^x/5-e^x)

A: Use derivative formula :- f(x) = lnx then derivative f'(x) =1/x

Q: 3) Find the second derivative of y with reference to x. xcosy = y

A:

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

A:

Q: Find the derivative of the function. y = tan an-¹ (√x-4)

A: We can find the derivative using chain rule as below.

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 the function. x coS X y = e*cos x

A: Differentiation is the rate of change of some variable with respect to the other variable. Chain…

Q: Find the second derivative of the function. f(x) = cos(2x?) f "(x) =

A:

Q: 3. Use logarithmic differentiation to find the derivative of y with respect to the given independent…

A:

Q: 1 Find the derivative of g(x)= (x)sec(x) + a+ x* + cos - sin(x)

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Q: find implicit derivative of x^3 + x tan^-1 y = e^y

A:

Q: Find the second derivative of the function f(x) = x sin(x) + cos(x)

A: The given function is fx=xsinx+cosx.  The product rule of the derivative is :…

Q: Compute the derivative of the function y=x2/ln x at x=e.

A:

Q: Find the derivative of the function.

A: Given: y=lncosxcosx-1

Q: 26 Find the 155th derivative of (1 + x°)" at x = 0.

A: see 2nd step.

Q: x²+x' Evaluate the derivative at x = 1 for y = In () %3D

A: Some common derivatives are, ddx(ax)=ax.loga+C ddx(logf(x)=1f(x).f'(x)+C Quotient rule of…

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

A: Given: fx=xcosx for finding second derivative of given function, we find first derivative then…

Q: Find the second derivative of the function.

A: Given the function: g(x)=x + ex  ln(x) We have to find the second derivative of the function. Let's…

Q: find the derivative of the function.

A: h(x)=xcosx

Q: 1+ cos x y = In 1-cos x

A: This question is based on chain rule differentiation.

Q: a.) z= 5.

A: We will find the second derivative of the given function in the following step.

Q: (3e)® arctan (3x³) In(e2«) arccos(5x) 1. Find the derivative of f (x)

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Q: 2. Find the derivative of the function. y = e* In (sinæ)

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Q: Find the derivative of the function.

A:

Q: 7. Find the nth derivative of y = 1//x.

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: 6. Find the derivative of function. a) y = (x - 1)ā + 2x2-4x+7 b) y = cos* 3x * arcsin 3x2 |3D 3 c)…

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Q: Find the derivative of y = x 1 cOS x 2

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Q: Find the derivative of the function. f(x) 4. + 2cos x %3D

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Q: 17) Find the derivative of y = x? COs x - 2

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Q: 5. f(x)%3D + cos X

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Q: Find the derivative of the function - 3x f(x) = 3 ln(x) + e - df dx

A:

Q: 3. Find the second derivative using implicit differentiation x² + y? = 4

A: Given that x2+y2=4To find implicit differentiation

Q: 1) Find the second derivative of f (x) = 24 . %3D

A:

Q: Find the second derivative of the function. f(x) = x x sin(x) %3D f "(x) - !!

A: Given:   fx=x sinx  To find: f"x=?

Q: Find the derivative of the function. h(x) = ∣x∣ cos x

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Q: 1. Find the first order derivative of u = x*.

A:

Q: c. Find the derivative of y =+- et x3 cOS X 2

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Q: Find the derivative of the function. y = e* In x

A: Find the derivative use product rule

Q: Find the derivative of the function. 10 f(x) = 3 + 4cos x %3D

A: Given that fx=10x3+4cosxTo find its derivative

Q: Determine the derivative of the function (x) = %3D 3+e3*

A: Authoring guidelines:…

Q: Find the derivative of y = f(x) = x cos(x).

A: y =f(x) = x cos xf'(x)=ddx (x cos x)

Q: Find the derivative of the function. h(x) = ets. - x + 1

A: Differentiate w.r.t x

Q: dy Y= x ²x-> メ =人

A:

Q: 1) Find the derivative of the function: (3х — 1)3 Vx* — 1 f(x) = cos² x

A: Since you have asked multiple question, we will solve the first question for you. If you want any…