[2] 6. Compute the derivatives of the following function using the Chain Rule. (a) g(1) = /tan(t) + 3t (b) h(x) = csc(x² – 4x) (c) f(w) = (w² +2w – 1)2021

Q: 5. Find the first and second derivatives of y if y is a function of r defined implicitly by x* + y*…

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Q: Find the first partial derivatives for f(x,y) = 5x cos (5xy).

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Q: Moreover, suppose F(x) = f(g(x)) and G(x) = g(f(x)). Use the chain rule to calculate the following…

A: f(x)=cot x  and  g(x)=5x-2

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A: ANSWER :

Q: 1. Find the derivative using chain rule. (a) f(x) = (x5 – 2)20 %3D Answer: (b) f(x) = V3r² + 1 %3D…

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A: We have to find

Q: Find the first partial derivatives of the function.   f(x, y)=-5xy

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Q: 2. z = x + 2 У Х x

A: Solution

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Q: 1-Find the mixed partial derivative: w = e* +x In(y)+y ln(x)

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Q: V IV find all first partial derivatives of f (x,y) = el x2+y2 [ ] In -10 8 9. 4 log log

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Q: Q1: Find partial derivatives of the function with respect with each variable 1) f(x,y)=2x² – 3y – 4…

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Q: Q1: Find partial derivatives of the function with respect with each variable 3) f(x, y) = (xy –1)

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Q: Find the derivatives of the following functions using CHAIN RULE. y=(5x + 1)2

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Q: Find the first partial derivatives of the following function. f(x,y)=x²-3xy-6y²

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Q: 5. Use the chain rule to find the derivatives of (a) y = log; V4 + 1 (b) y = (x – e-")²

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Q: Let y = (x + sin(x))³. Find g(æ) and f(x) so that y = (f o g)(x), and compute the derivative using…

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Q: 3. z = x+y x-y

A: Given:        z=x+yx-y Partial derivative with respect to x:      ∂z∂x=∂∂xx+yx-y      Treat y as…

Q: Find the first partial derivatives of the following function. g(x,y) = cos ° (x°y³) ag

A: I have used chain rule for derivative

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Q: = x³y² – 3x²y + 5x – 3y + 12

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Q: Find all second-order partial derivatives for the following. f (x, y) = 2y ln x

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Q: 1- Find the mixed partial derivative: w = e* +x In(v)+y ln(x)

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

Q: Find the first partial derivatives for f(x.y)= 10x cos (3xy)

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Q: Q5: a. Find the mixed partial derivatives for the following function. w = e* + x In(y) + y In(x)

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Q: 5. z = yex+x Iny xey-y lnx

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Q: Q1: Find all the second order partial derivatives of the functions: x-y (1) f(x, y) = x2+y (2)…

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Q: Find the derivative of the function. y = (3x + 1)°(x+ - 6)° A y=(32x +9)(3x +1) (x*-6)° B y' = 9(3x…

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Q: Q1: Find partial derivatives of the function with respect with each variable 3) f(x, y) =(xy –1)

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Q: 8) Find the derivatives of the following: a) f(x) = 4e* – 2x + 5 b) f(x) = ln 2x² c) f(x) = (4 – x)5

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Q: Let y = (x + sin(x))³. Find g(æ) and f(x) so that y = (f o g)(x), and compute the derivative using…

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Q: The derivative of the function y = In (* + 1) (* - 1) is O y = O y = :- - 1 e+1 + -2 +1 ||

A: Question is solved.

Q: Match the functions in Column A with their derivatives in Column B. 1. f(x) = 4 А. f'(x) = 8x 2.…

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Q: Let y=(x+sin(x))^5 Find g(x) and f(x) so that y=(f∘g)(x), and compute the derivative using the…

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Q: Find the first partial derivatives of the given functions. 1. z = x3 – xy? + 3y?

A: SOLUTION-

Q: Q3:Find all the second order partial derivatives of the f(x,y) 2x* - 5x'y3-y3

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Q: Find both first partial derivatives. h(x, y) = e−(x2+y2)

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Q: Q1: Find partial derivatives of the function with respect with each variable 2) f(x, y) = (x² –1)y +…

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Q: for the following function f(x, у) %3D (ху —1)2 Partial Derivative for y = %3D O 2y(xy-1) O y(xy-1)…

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Q: Find the four second partial derivatives of the following function f(xy)-In (7x2 + y2 +9)

A: To calculate all the second order partial derivatives of the given function of two variables

Q: Find the partial derivative with respect to z of the function (3a – 2)e2y-5 In(-5z - 1).

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Q: Q3:Find all the second order partial derivatives of the f(x,y) = 2x*- 5x'y-y3

A: the given function is  f(x, y) = 2x4 - 5x3y3 - y3

Q: Find the derivatives of the following using chain rule. c. f(x)= lnx^2 +4e^x d. y=axe^bx e.…

A: Given: c. fx=lnx2+4ex d. y=axebx e. y=e3x3-x2+5x-6 To find : Derivatives using chain rule. Formulas…

Q: y = (4x + 3)/ln[2x2 + 3x - 5] y = 3( e2x + e-2x )(x2 - 4

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Q: Q1- Find all the second-order partial derivatives of the function: -1 s(x, y) = tan¯¹(x)

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