y(x) = tan{/3x² + In(5x*) - In(5x'

Q: g. y = ex² +1 h. y = esinx y = ln(sin x) i. j. y = ln² + e√x X 6. L

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Q: Find the derivative of the function. G(z) = (1 – 92)² 7 +1

A: Given,          The function is Gz=1-9z2z2+1 .

Q: du Find and by using the chain rule. ar ' do u = x² + y? + 22; x = r sin o cos 0; y = r sin o sin 6;…

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Q: 1. f(x) = (48x* + 24x + 30) 4 -6 6. f(x) = (2x* + 1) 4 %3D - &r + 17) 3 2. f(x) = (4x* + 5x – 8x +…

A: solution given below..

Q: (c) u = 2 x = a²ß, y = 32, t = √²α; u when a = -1, 3 = 2, y = 1 მ მ3 მ ди ди ди

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Q: Use differentials to give an informal justification for the chain rules for derivatives.

A: Consider the given statement. The chain rule of derivatives is defined as. dydx=dydududx Let's take…

Q: Find partial derivative.

A: We use product rule to find the partial differentiation.

Q: fcac) fCre)ニ2x+5

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Q: 1. y u? +1; u= 3x -2 2. y =u2 + u -2; u= 2 %3D

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Q: dy Y = y° dx 'x

A: As per guidelines,we will solve only first question.

Q: Supplemental Problems Find the derivative of the given functions using chain rule. 1. f(x) = (2x +…

A: Note: As per our company guidelines we are supposed to answer only 3 sub parts of a question. Kindly…

Q: ,2, (x²–1)* Dx (1+8x)5

A: To Determine: find the derivative using chain rule  Given: we have y=x2-141+8x5 Explanation: we have…

Q: Use the Chain Rule to find 2 when and r = 2se', y = 1+ set.

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Q: 23. g(x) = √√√9 — x Answer g'(x) = 1 2√9-x 9 (-∞, 9], (-∞, 9)

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Q: Ex: Find and . fie 28. u = rs? In t; r = x², s = 4y + 1, t = xy³ %3D

A: ∂u∂x and ∂u∂y

Q: Answer the following question 1 dx = xx+x tan" +C -1 A. -1 B. 2 tan x+C -1 tanx С. +C D.…

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Q: Find the linearization L(x) of the function at a. f(x) = x^4/5, a = 32

A: Given data: Function: f(x)=x45 a=32

Q: d. y = (x² + x + 1)15 sin(lnx) e. y = f. y = √√x³ + x² + x + 1

A: As per our guidelines we can answer only 3 subparts of the given problem so kindly repost the…