Find the derivative of f (x) = 3x2.e3x2 A 6x2. e3x2 + e3x² 3x2. e 3x² + 6x - e 3x2 ©) 18x3. e3x2 + e3x2 D D 18x3. e3x2 + 6x • e3x²

Q: Solve for the derivative of the function using chain rule. 4. f(x)= (x3+4)5/ 3x4-2

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Q: The first derivative of f(x) = (5x – 6x)-3 will be.

A: Solution of first derivative

Q: Find the derivative of the function using Chain Rule. h(x) = (2x-6)-¹ (x²+3)

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Q: Find the derivative of y = 2 + v2 + vx5 |2 + V2 + Vx5

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Q: Find the derivative of 8arcsinh(x2)

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Q: Find the derivative of f (x) = csc-1(e2x²) - 4x A 2x2 ‚4x 2 4x B 4x 2 - 1 - 4x 4x2 4х D Ve42

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Q: What is the first derivative of 2x^2 + 3x + 5

A: find differentiation:-

Q: 5 Find the derivative of f (x) = (9x4 -

A: Consider the given: fx=9x4−7x5Find the derivative:f'x=ddx9x4−7x5

Q: Find the derivative of f (x) = V3x² In(3x²). 2/3x2 A 3x In(3x²) + V3x2 2 + 3x In(3x²) В

A: Given thatfx=3x2ln3x2To find : derivative of…

Q: Find the derivative of (2x^3+3x+1)^1/3

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Q: Find the first derivative: y= In V5x3 - 2

A: Given: y=ln5x3-25 We need to evaluate dy/dx. This can be done as follows:

Q: 4) Find the derivative of f(x) = (5x² - 3)² in two different ways.

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Q: Find the derivative of the function. y=x5 7 3x7 O y'=- 2x3.7 O Y'33 O Y'=. 2x3.7 O Y'=. 3x7 + 5x4…

A: Given, y=x5x3+7

Q: Find the 2nd derivative of y: 2x - 1 y = 2x + 1

A: Given,

Q: Find anti derivative of    3cos(x)-7x4+2x5

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Q: 4x +2 x-12 7. f(x) = 2x

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Q: Find the derivative of f (x) = ln| x3 - 10x2 + 8| .

A: Given        f(x)=lnx3-10x2+8

Q: Find the derivatives of the functions in Exercis y = (2x - 5)-1(x2 - 5x)6

A: Given function - y = 2x-5-1x2-5x6y = x2-5x62x-5               ........(1)  Identity to be used -…

Q: Find the derivative of the function. 2 + 4x – 9Vx – 10 y = 10x5 %3D - x3

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Q: Compute the derivative of f(x)= (ex2 +e-x2 )/(ex2 -e-x2 )

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Q: Compute the derivative of ln r3 –1 V2x+5x²

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Q: Find the third derivative of f(x) = 4x^3-6x^2+7x-1

A: We have to find the third derivative of  f(x) = 4x3 - 6x2 + 7x -1  First derivative of f(x) is…

Q: What is the derivative of the function r (x) 5 (9x²-2) (5x+7) (3x³-2x+2) 9x²-2 5 5x+7 3x³-2x+2 5…

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Q: What is a derivative of -2x/(x^2-1)^2?

A: Differentiate the expression -2x/(x^2-1)^2 with respect to x as follows.

Q: 3. Find the derivative of f(x) = x2020 – 2019.x" – 7x3 – 9x + en".

A: To Determine: Find the derivative of f(x)

Q: Determine the value of X on which the derivative of the function Y = | 3x² + 4x + 1] does not exist.

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Q: What is the derivative of * 3 = 4.x2 + 2y3?

A: We have to find the derivative of 3=4x2+2y3.

Q: Compute the derivative of: f(x) = 4/x+1/(5x^3+2x)

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Q: f(x) =  3 − 3x − x2 x2 − 5  f '(x) =

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Q: Find the first derivative of -5x²+2x-5 210x -5x²+2x-4 ебх о о 5x2-2x+5 P5х 2 x2+1 e5x

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Q: Find the derivative of the ff. 3. f(x)= +an (x²- 2x) 8.h(x) = (4) -* -x2

A: Using chain rule.

Q: find the derivative of x^3 + 4x^2+x-2/x

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Q: Find the derivative of f(x) = arctan x In(6x? + 6x – 4) - 12x 1 1 In(arctan(x)) + In(6x² + 6x – 4)-…

A: The given function is fx=arctanxln6x2+6x-4

Q: second

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Q: FInd the derivative of  y=(3x-2)2(5-x5)4

A: Assume u=(3x-2)2 and v=(5-x5)4 Differentiate the function u with respect to x. Assume p=3x-2…

Q: Find the 3rd derivative of y=(x³-2x)².

A: y=x3-2x2 Differentiating with respect to x, we get dydx=2x3-2x·dx3-2xdx=2x3-2x·3x2-2 Again…

Q: Determine the value of X on which the derivative of the function y 3x2 + 4x + 1| does not exist.

A: Giveny=|3x2+4x+1|y=|3x2+3x+x+1|y=|3x(x+1)+x+1|y=|(3x+1)(x+1)|Using modulus propertyy=|3x+1||x+1|

Q: What rule do you use to calculate the derivative of f(x) = exx2 and f(x)=(x2-3x+1)/(x+5) ?

A: Use the product rule and quotient rule of derivative:

Q: 1. Determine the derivative of: f (x) = 4x3 – x² + 5x + 9 %3D -

A: We need to find the derivative of the given function.

Q: Find the derivative of f(x) = 4Vx + +4. O 4 + In(x) 4 x3 O 2 2 .2 O 2-4 O 2/x 4x-2 | 2

A: Given function is fx=4x+2x. We have to find the derivative of fx=4x+2x. Differentiate fx=4x+2x with…

Q: 3) Find the derivative of f (x) = Vx3 – 4x²

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Q: Find the first derivative of y=arctan⁴(3x⁵)

A: Find the first derivative of y=arctan⁴(3x⁵)

Q: Find the derivative of the function. f(x) = 2x In 2x %3D

A: Given, f(x)=2xln2x To find the derivative of f(x).

Q: Find the derivative of f (x) = – 5x 5z) (-² + 6x – 6 ) . -

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Q: Find the derivative of f(x) = 4x5 +3x + 3 f(a) = 4x + 6x + (a) = 20a + 6æ + a f (x) = 4x4 + 3x + ¤…

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Q: What is the first derivative of y(x) = In (3x + 6x2 + 2x + 6)?

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Q: The first derivative of f(x) = (5x* – 6x)/3 will be 20 A. Gx* - 2) (5x* – 6x)i B. (20x³ – 6)(5x* –…

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