Question D. Use implicit differentiation to find all the derivatives. 1 3yz? - cos 4z – 3y² = 4 xyz = cos (x + y + z) In (x² + y³) – z = tan-'(x +z)

Q: 2х -1 Find the derivatives of the following functions Sin 1+x?

A: the given function is y=sin-12x1+x2

Q: Question (3): Sketch the graph of the following function y = -2 tanx- 1 Question (4): Find the first…

A: Our objective is to draw the graph of  a function, and find the derivative of a function.

Q: > Question 1 of 16 27T Find an equation of the tangent line to f(x) = 7 cos(x) at x = 3 (Let y f(x)…

A: To determine the equation of the tangent line.

Q: Question 17 Using the definition of a derivative, find s' (r) given s() =-x2 2x +3. Do not include s…

A: Given:

Q: Question 1: Verify that the point ) is on the curve x Sin2y = y cos 2x. Use implicit differentiation…

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Q: Question 3 Determine the derivative of In(csc x) cot x Csc I - cot x CS z Previous

A: A detailed solution is given below

Q: 4. f(x) = x In x 5. g(x) = x tanx-In Vx2 +1 1+ sin x 6. y = In %3D 1+ sin x+ cos x

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Q: 5cos3(x) Гу 3 sin(3–2x) + tan? (3x? — 4х) — csc(/2x — 1

A: Differentiate y w.r.t x.

Q: 25-32 Use implicit differentiation to find an equation of the tangent line to the curve at the given…

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Q: (b) Find the first 4 derivatives of f (x) =b cos (x), and use the results to find the following…

A: We find the first 4 derivatives.

Q: Prove the formulas given in this table for the derivatives of the functions cosh, tanh, csch, sech,…

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Q: . h(x)= cot 1 -tanx

A: Given:hx=cot-11x-tan-1x

Q: Find the derivative of the following with complete solution A. y = sin x - 1 / cos x B. y = x^2 sin…

A: To Find the derivative of the following with complete solution

Q: Which of the following is not equal to the derivative of y = (cos(x) – sin(æ))?? A 2 (2 sin? (x) –…

A: The given function is y=cosx-sinx2

Q: Question (2): Answer the following (A) Find the first derivative of the following function: 1+ cos2x…

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Q: 1. cos(xy) + secy = 5

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Q: Question 20 Given the function fx) x to the 3" power 6x 2. find the walue of the first of the first…

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Q: 3. Find the derivatives of the following functions. Do not simplify your answer! x² + 3 (a) dx VTx…

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Q: Question 8 Let a be a real valued constant. Find the derivative with respect to x for the function…

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Q: cos (2x) Find the derivative of cos(e2«)

A: Given that: ecos2xcos(e2x)

Q: y = sin(In 2x) a. sinx b. In 2x c. cos(ln 2x) cos(In 2x) d.

A: From the chain rule of differentiation, ddxu(v(x))=dudv×dvdx Here, v=ln(2x) and u= sin(v),

Q: (a). Find the derivatives for each of the following functions (i). y = sin(2x + 3). In 3r (ii). y :…

A: According to our guidelines, we can answer only one question other questions can be reposted.

Q: Question 013: Complete the following question involving derivatives Use the derivatives table to…

A: Given: y=lnsin5x To determine: dydx

Q: d Find the derivative e" + sin ax] dx e" – a cos (ax) e" + a sin (ax) e" + a cos (ax) e" + sin (ax)

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Q: Question 3 3.1 Given that: x*y? + cosh(3y + x²) = 2y³ Use implicit differentiation to find . Show…

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Q: 1 5. Find y" of y= sin 3x

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Q: Question 2 Let a be a real valued constant. Find the derivative with respect to x: Y = 4ae 1-4ae4z O…

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Q: Question 7 Apply the first principle of differentiation to find the derivative of ( a) f(x) = Vi-2x…

A: We use here first principle of Derivatives to obtain Differentiation.

Q: Question 009: Complete the following question involving derivatives. Use the derivatives table to…

A: Solution: The objective is to find the derivative of the given function

Q: 1. Find each derivative. a) y = sin- X c) f(x) = ln- sin x COS X b) y = cos(x² - 2x-8)

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Q: Question 6 Consider the function below: sin(x²+y) { (x, y) # (0,0) (x, y) = (0,0) f(æ, y) y-x Find…

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Q: +66 Next Page Previous Page xp 4) xp 3) xp O 2) xp Use implicit differentiation to find a if xy -…

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Q: Which of the following equations is 1011th derivative of h(x) = -5 cos x ? Oh(1011)(x) = -5 sin…

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Q: Find the derivative of the given function:

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Q: 13. We know that x = r cos 0 and y = r sin 0, then find the derivative ðf /ər if f = x² + y?

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Q: Question 25 Which of the following functions yields the derivative cos 3x g'(x) = 5+2sin 3x g(x)…

A: We know derivative are opposite to anti derivative of function  so i find anti derivative of given…

Q: Question 16 O [CLO-2] Find the derivative of f(x)=tan -¹ (√2x) O √√2x+√√88² (1+√√2x)² 1 √√√2x+√√2x³

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Q: Question 4. of S-dx as reverse or inverse differentiation, Given two nice functions f and g. Using…

A: Here we prove the linearity of the integration using the fact that integration is reverse…

Q: Question 009: Complete the following question involving derivatives. Use the derivatives table to…

A: Given function is : y=sin23x To find dydx Use derivative table, therefore  dsinxdx=cosxdxndx=nxn-1

Q: Question 26 Calculate the second derivative of the function y = In(cosx). A -sec'x B) -csc2x csc?x…

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Q: Question 002: Complete the following question involving derivatives. Use the derivatives table to…

A: y=10x^2 -3x+9 dydx=?

Q: Question 016: Complete the following question involving the product rule. Use the derivatives table…

A: Given y=7x×e4x We have to find the derivative of y=7x×e4x by using product rule Use product rule…

Q: 1-x Find the derivatives of the following functions sinh' 1+x

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Q: Question 1: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the…

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Q: Prove the formulas given in Table 1 for the derivatives ofthe functions (a) cos h, (b) tan h, (c)…

A: consider the function y=coshx dydx=ddxcoshx=ddxex+e-x2=12ddxex+e-x=12ex-e-x=ex-e-x2=sinhx

Q: Question 13 Let f (x) =x - sin(x²). what is the correct result of the derivative of f with respect…

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Q: 1. Find the derivative of the following: (Simplify your final answers.) r(8) = tanh-(cos 0) +…

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Q: 1+cosecx y = 1- cosecx

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