cos (z) V32 + 7 (3x+ 1)52x + 5 7. Use logarithmic differentiation to find the derivative of f(x) = (Your answer should be completely in terms of x.)

Q: What is the derivative of y = cos² x?

A: According to the chain rule of differentiation:

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: 3) Use logarithmic differentiation to find the derivative of the function a) y = Vxe&*x? + 1)"

A: Answer

Q: diy in terms of x and y. dz² ニ 86

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

A:

Q: What is the derivative of y = cos-1 (x² + 2)? %3D

A: Derivatives formula ddxcos-1x=-11-x2 ddxxn=n xn-1

Q: Find the derivative of the function. y = e4 e -20 - 20 cos 50 O A. - 5603 e - 20 , sin 50 O B. 03 e…

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Q: step by step Use the chain rule to find the derivative of  F(x)= sin (cos(2x))

A: Differentiate  wrt x

Q: 2) Let y = xe* and find the first derivative y'. Where is y'>0?What does this tell you about the…

A:

Q: Calculate the implicit second derivative of b(z)=(x-5)^2 find the value of b''(-1

A: find the second derivative of the given function

Q: COS 2. %3COS

A:

Q: A// Find the derivative of y with respect to x 5) 3tan-1x + sin-1x = 4 6) y = ln- 1+ ex = la,

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Q: Find the indicated derivative of the function. for y = -4 cos X dx4

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Q: Find the derivative of y=. =x²- 1 2 COS X

A: Given,  y=x2-12cos x

Q: (2² + 3) (3z – 4)* Use logarithmic differentiation to find the derivative of y =

A:

Q: (3x + 1)*(x – 4) - Use logarithmic differentiation to find the derivative of f(x) = (x2 + 1)° .…

A: topic - logarithmic differentiation

Q: 6. y = (x +3x + 2)(x2 +5x + 1)

A:

Q: 4. Use logarithmic differentiation to find the derivative of each function a) y = x?r-1 b) y = (cos…

A: A):  y=x2x-1Taking log on both sideslog(y)=(2x-1)log(x)differentiating both…

Q: Find the derivative of the function.

A: Given: y=lncosxcosx-1

Q: d,x+7 3. dx 2x-3

A: To find: ddxx+72x-3

Q: Find the 62th derivative of y = cos(x)

A: y=cos (x)

Q: Find the derivative of the function .

A: Given a function f(x)=2x3+3 cos x f(x)=2(x)1/3+3 cos x      =2x-1/3+3 cos x We, use the following…

Q: Q3) Apply the logarithmic differentiation to find the derivatives of: x+1 y=(sinx-x)**

A:

Q: Find the derivative of the function

A:

Q: Find the derivative of the function. f(x) = ln(x2 + 1)2

A:

Q: Find the derivative of the function. h(e)- (-1) ( 1) +]

A: Given ht=t4-15t3+16

Q: Calculate the derivative of the function y = (6^6 + 3)^x using the fact that b^x = e^(x ln b) and by…

A: Consider the given function:

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.

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Q: ) .3 Find the derivative of h(x) = cos (2x – 5 %3D

A: Given,            hx=cos42x3-5To find : The derivative of the given function.

Q: i need to find the derivative using logarithmic differentiation

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Q: a) Find the derivative of y = 2 sin-1 x. b) What is the value of the derivative at x = 0.

A: given

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

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Q: 1) Find the derivative of f(x) 1+sin 2 x %3D 2 cos x

A: we are given the function is  f(x)=1+sin2x2cos3x

Q: Find the 10th derivative of y = cos 3x. f(10)(x) =

A: Given, y=cos3x

Q: Q2) Use implicit differentiation to find y'" if y2 – 2x = 1 – y

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Q: Find the derivative of x^2-xy^2=e^y using the implicit differentiation.

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Q: Use logarithmic differentiation to find the derivative of y. y= cos X-3x + %3D

A: We can find the derivative using logarithmic differentiation as below.

Q: Find the first derivative of y = cos*x- sin*x.

A:

Q: 2 a) FIND BY IMPLICIT DIFFERENTIATION: x*y³ = -8 dy dx b) EVALUATE THE DERIVATIVE FROM PART a AT THE…

A: Given: x4y3=-8

Q: 3. Find the derivative of (x² + 3) (3x – 3)² Y = Vrez+1 Hint: Use logarithmic differentiation!

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Q: Using logarithmic differentiation, Show that y (x)= xa2" e®has no stationary points other than x =…

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Q: Use logarithmic differentiation to find the derivative of y.. 14) y =1 X - 3 1 A) B) (Inx In(x- 3))…

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Q: e2x 2. Find the derivative of y = - (x² + 1)°(1 (1+ sin x)5

A: