Consider the function: Which of the following is a partial derivative of this function? x* - Bxy + z 2 −8xy+2) fy=3ye 8x²-8xy + y² = 3xe fx=3ye fx=3ye (V-8xy+1) ®x® - Bxy + }r (16x2 – 8xy + 1) Quê - Quy tr None of the above (16x-8xy+1) Quê - Quy tr f(x,y)=3xye

Q: (3x – 4)8 Find the derivative of 9(x) = (4x² + 3)

A: Quotient rule of differentiation:

Q: Find the derivative of t(z)= (Z-2)5

A: fz=z-25z2+iz+12 Now find the derivative of fz f'z=ddzz-25z2+iz+12…

Q: Find the derivative of the function y = (4x + 1)4(5x + 1)-5. dy (16x+4) 3 (4x+1)4 dx (5x+1)5…

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Q: 2. Use the first principles of derivatives to find the derivative of f(x) = 1 2x-7

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Q: Find the derivative u sing the quotient rule. 2x² (3x-3) Y = dy 6x-12 dx (3x-3)² dy dx = dy 6x² 12x²…

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Q: Find the derivative of the given function. y = (4x2 + 4x)2 %3D O 32x° + 48x2+ 16x 64x + 96x2 + 32x O…

A: That's easy. Have a great day!!!

Q: x+D メD

A: To Determine: we have a function then find the derivative Given: we have a function Z(x)=Hxx-D2+x2…

Q: Q11 Find the derivative of ƒ(x) = (x² + 5)(3x − 1) (a) By simplifying and then differentiating (b)…

A: Let two functions u and v then ddx( u,v ) = udvdx + vdudxGiven function f( x ) = ( x2 + 5 )( 3x - 1…

Q: Find the derivative of the function. g (x) = 6x-3 + 2x Og (x) = 18x + 10x-6 %3D Og (x) = -18x-3…

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Q: What is the third derivative of the function: f(x) = x5 - 4x³ + 3x?? O 5x – 12x² + 6x O 20x? 24x + 6…

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Q: Assignment No. 2: Determine the derivative of the ff. functions 1. y = 6x4 + 7x3 - 8x² + 9x - 10 2.…

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Q: Determine the anti derivative of the function.

A: Given Data: Function: fx=2x35+10x5-74x Similified the given function f(x).…

Q: Find the derivative of the function. 4² – 1 4x 4x g(x) = du Hint: f(u) du = f(u) du + f(u) du Jax u…

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Q: find the derivative of y if X(メ+リ(メ-2) (x)くメ+3)

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Q: Which step is part of finding the derivative of the function below? The correct choice may not be in…

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Q: Find the derivative. y = ln (9+x5) 5 9+x 5x4 In(9+x5)

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Q: a. (x³ + 3x + 2)² + 1 b. (In(x²+4)- 1)³ C. (x + 1)4 d. 5 (*)³

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Q: 7x +5 5x +1 Evaluate the derivative of y = In where x = 3.25.

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Q: Find the second derivative of x-5x² + x 0. A. 10x-5 B. 6x10 C. 3x + 10 3x² - 5x D. Given the…

A: We need to calculate the derivatives of the given functions:

Q: derivative of 4x³?

A: Find the derivative of 4x3                 Let        y= 4x3

Q: Q2: Find the derivative of each of the following 1- f(x) = 2x5 + 2- y = (x – 3x²)(6 – x*)

A: In this question we have to find the derivation of the given function which we can easily find using…