6. Find 39th derivative of f(x) = sinh(x). A. sinh(x) B. cosh(x) C. – sinh(x) D. - cosh(x) None of the above

Q: y = In (x* + 5)³

A:

Q: B- The derivative is y = ln (sec (In 0))

A: Solution ) y = ln (sec(ln θ)) Using chain rule  dy/dθ = (ln m/dm) × (dm/dn ) × (dn/dθ ) m = sec(ln θ…

Q: 10. Find the 87th derivative of y = cos(2x) at IT

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Q: 2. (a) Find the derivative of f(x) = 2x2 – 2x + 2 from first principle sin x (b) If y = x + find x4…

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

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Q: 10. Find the derivative of y = cos /sin(tan 7x)

A: We will find the derivative using Chain rule

Q: 2. Find the derivatives of Y with respect to x if; x=arc sin ex.

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Q: Find the first derivative for y = 5 cos x

A: Given,          y=5cosx

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

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Q: 2.) Investigate the derivate of the function ƒ(2)=Imz by using definiton of derivative.

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Q: 1. Explain two different ways to solve for the derivative of s(0) = 200sin cose

A: The given function is : s(θ)=200sinθcosθ We need to find the derivative in two ways.

Q: 13. Find the derivative at x = a for f(x)= /sin(4x) 2 Vsin(4a) cos (4a) Jsin(4a) 2 sin(4a) Vsin(4a)…

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Q: 18) Find the first derivative of y = 1 -sin² x - 4

A: The given function is: y=14sin2x

Q: 10) Find the second derivative of k(z) = 4 cscz.

A: Given: kz=4cosecz for finding second derivative of given function, we find first derivative then…

Q: 2. Find the derivative of y= ecos{/x+3) Solution:

A: Topic:- derivatives Note:- as per our guideline if more than one question uploaded than only first…

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

A: see 2nd step.

Q: Find the first derivative of: y = sinh e2" O y e2 cosh e2# 2e2" cosh e2" O y' 2 cosh e2 O y = cosh…

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Q: 4. Find the first order derivative with respe. to x of the function u = In/x2 + y2 + z2 %3!

A: The function is u=lnx2+y2+z2

Q: y = In(tanh 2x)

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Q: 83. Find the 50th derivative of y = cos 2x.

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Q: 20. Evaluate the derivative. 4 (sinh ) dx O

A: ddxsinh-1ex

Q: find th first derivative: x=2cos2 t/2

A: we need to find the first derivative of

Q: find the derivative of y with respect to the appropriatevariable. y = 6 sinh x/3

A: Given function: y=6sinhx3 Using the common differentiation of hyperbolic function: dsinhaxdx=acoshax

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: 4. Find the derivative of the following function. 1+ sinx g(x) = - V1+ cos x

A: Given: gx=1+sinx1+cosx for finding derivative of given function, first we simplify given expression…

Q: 22 Find the 43rd derivative of (1 + x²)“ at x = 0. 0.

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

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Q: What is the derivative of: y = ln ln(1 − cos x)

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Q: find the derivative of y with respect to x, t, or θ, as appropriate. y = ln (θ + 1) - eθ

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Q: 4. Find the first derivative of y = 170x tan (20x)+- In(49 – x 5e7-8cos

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Q: If y- sin x and yn) means "nth derivative of y with respect to x", what is the smallest posilive…

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Q: If y = cos x, then the nth derivative of y with respect to x is equal to itself if n is a natural…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: Find the derivative of y = csc¯(In sin (x))

A: use simple integration formula.

Q: What is the second derivative of y = 2x -+ sin x with respect to x? a. 2 -+ cos x b. 2 ++ cos x -+…

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Q: Q2: What is the value of second derivative of f(x)=3 sin((1-x)/t) *

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Q: N= cos(5x) (SX メコ

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

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Q: Q3: find the derivative of the following: 1. y = lnx + √1-x² sech-¹x 2. y= sinh-1(tanx)

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the other…

Q: 4 sin x-3 2. Find the first derivative of y =150xcos (10x)+ 9 In(J16-x)

A: use derivative of y

Q: 2. Find from first principle the derivative with respect to x of the function f(x)= Inx.

A:

Q: (2) Find the derivative of the following: y = xsinx + x² y = (x² + 1)** + sin(x*)+ x* 2. 3. Iny = e'…

A: Since you have asked a question with multiple subparts, we will solve the first three subparts for…

Q: 5. Find the derivative of --( 1 + sin 0 cos 0

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Q: 16. What is the derivative of the function: * y = sin(6x² - 1) y = 12x cos(6x² - 1) y' = x cos(6x² -…

A: Solving the problem by finding the value of the derivative.

Q: (x² +SJ° In 14-X つ. dr

A:

Q: 8. Find the derivative of the function (t)= 3sin(arccost)

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

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Q: 3. Find the derivative of the following function. 8(x) = cos"(vx)

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Q: 2. Determine the 8th derivative of y with respect to x of the function f(x) = 1 + x2 and find the…

A: fx=11+x2 Differentiate the above function with respect to x. f'x=ddx11+x2=2x1+x22 Again,…

Q: 11 with respect to x is The derivative of y = cos - 1

A: