sin (x) -1 h(x)= 1+x

Q: find the derivative using increment method show complete solution thanks, i'll like back y=x^(3)…

A: To find the derivative of y=x3-x-2 using the increment method. Note that the derivative using…

Q: Y = V 3 (2x + 1)² Yiv

A: y=(2x+1)23

Q: Find the first and second derivatives.  f(x) = ln(5x+1)  Please explain and show how to do this…

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Q: Find the derivative of the given function. y 1122 10z Enclose arguments of functions, numerators,…

A: to find the derivative of y with respect to z

Q: Find the derivative. g(x) = tanh-1(x?)

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Q: z (y/)° = y

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Q: Solve the second derivative(y") of the following function and simplify the final results. Show your…

A: We will find the second derivative.

Q: ex = cosy

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Q: Find the derivative of ƒ (x) = 8ª ln (x).

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Q: To help you start thinking about this, explain (in your words) how you would find the derivative of…

A: Given function to differentiate y=sin23x This can be differentiated using chain rule. Let y=fu and…

Q: Derive the formula for the derivative with respect to x of csc x.

A: We will write cscx= 1/sinx  Then we will use the quotient rule to differentiate

Q: xArctanx - Invx² + 1 = y

A: Topic:- derivatives

Q: Find the derivative. Simplify where possible. g(x) =  e cosh 3x

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Q: Find the First Derivative:  v=csc 7x

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Q: In(x®y®) = x² +y³

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Q: 1+cscx 7. h(x)=- 1-csc x

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Q: y=C1x + C2e + x2

A: The givne equation is:y=C1x+C2e-x+x2To eliminate the arbitrary constant/s

Q: y у %3 4a/сosh a

A: Consider the given hyperbolic function y=4acosha The given function can be written as, y=4acosha=4a…

Q: Use the sum and/or difference rule(s) to find the derivative of the following functions: with…

A: We have to find derivative of given function.

Q: y = tan e3x + etan3x

A: Given function of x.

Q: 4. g(x) = 4x³ log, x

A: Hello! Thank you for your question. We’ll answer the first question since the exact one wasn’t…

Q: find the second derivative and simplify the final result 9. xArctanx - ln (square root of x^2 + 1)…

A: y=x tan-1x-lnx2+1

Q: x-1 y = log, x+1

A: We know, ddxlog(x)=1x ddxu(x)v(x)=v(x)u'(x)-u(x)v'(x)v(x)2 log(ab)=log(a)-log(b) log(a)n=n*log(a)

Q: Find the derivative of the functions . No need to simplify      ( A )   = 3x^-2cosx   B . Log5…

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Q: Find the derivative of y = x' +1 3 Give your answer with positive exponents.

A: We can make it easier for you.

Q: Find the 40th derivative of the function f(x) = cos(x). The answer is function

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Q: et+1 g(æ) = x + 1

A: Given that gx=ex+1x+12To find : g'x Solution :…

Q: f(x) = x² + 2x when x

A: The answer is given below

Q: Solve the problem and give a detailed solution. Find the 3rd derivative of y = sin(ex)

A: y = sin(ex) Differentiate w.r.t.xy'=ddx( sin(ex) )y'=cos(x)ddx(ex )y'=cosexexDifferentiate again…

Q: Find the 39th derivative of the function f(x) = cos(x). The answer is function

A: Given f(x) = cos(x)

Q: Find the derivative of the function without using the Quotient Rule. Step 1 Rewrite the equation so…

A: Given y=1112x5

Q: The nth derivative of y = sinx cosx

A: We know that,  2sinxcosx=sin2x Therefore, y=sinxcosxy=122sinxcosxy=12sin2x              ⋯⋯1…

Q: 3) Find the second derivative of 2x f(x) = for x + 0 3x2+4x Show all steps. Simplify your answer as…

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Q: By calculating the first few derivatives, find a formula for the nth derivative of the function (k…

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Q: Find the nth derivative of the function y=sinax.

A: We find the first 4 derivatives using the chain rule

Q: Solve the second derivative(y") of the following function and simplify the final results. Show your…

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Q: Find the first derivative and solve for x. Complete solution please.

A: To find: The derivative of y=1+ln xx. Formula used: Quotient rule of derivative: ddxuv=v·u'-u·v'v2…

Q: Use the quotient rule to find the derivative of - 9 sin(x) + 6 4а9 — 6 - You do not need to expand…

A: I have stated the used formulas in the solution.

Q: 2x-x² a. 2 logz e e*10* c. e*10* + loge

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: Y = (3x° + 2)4 ;y"

A: Solution: Consider the given that: Y = 3x3+24 We know that the derivative of the function y =…

Q: wwww To find the slope of the tangent line to y = ln(x²) at the point (1,0) we must find the…

A: Recall: Slope of the tangent line

Q: Find the 31th derivative of the function f(x) = cos(x). The answer is function

A: f(x)=cos(x) f'(x)=-sin(x) f"(x)=-cos(x) f"'(x)=sin(x)

Q: 5. y = [csc Jarcsin (cos.x)

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Q: y = xArctanx - In V1+x²

A: Find your answer below

Q: Find

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Q: Find the indicated derivative in its simplified form: Kindly show the detailed solution, thank you!

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Q: y= Arccos(e2x)

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Q: Q3: Derivative and put in simple formula: [1] x - y = 0

A: The objective is to find the derivative of the expression

Q: How would you find the 54th derivative of sin(x)? What is the pattern that occurs to allow you to…

A: Consider the function

Q: How do I find the derivative of this problem?

A: