Use the product rule to find the derivative of (82° – 3x*) (7e" – 1) Use e^x for e". You do not need to expand out your answer.

Q: Find the derivative of ƒ (x) = /7– 8x. %3D To enter va, type sqrt(a). f' (2) =

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

Q: Compute the derivative of the function y=arcsin1√x at x=2.

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Q: Find the derivative of the function. f (x) = cube root of ( 1+ tant )

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Q: Use the method of Differentiation from first principle to prove that the derivative of the square…

A: Let, y = xSquaring on both sides, we get;y2 = xDifferentiating on both sides, we get;2ydydx = 1dydx…

Q: Use the first principles delta method to find the derivative of y = x2 – x. %3D

A: Here we have to find the derivative of y by using the first principles delta method.

Q: Compute the derivative at the point indicated without using a calculator.           y = sin- 1x,…

A: Given equation is y=sin-1x Rewriting the equation: siny=x Applying derivative with respect to x:…

Q: 14. f(x) =(In x)* 3. 15. Н(х) 3D

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Q: Use the Power Rule to compute the derivative: %3D lx=7

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Q: Compute the derivative using derivative rules that have been introduced so far y = √(9 +x + sinx)

A: We have to compute derivative of the function: y=9+x+sin x We know the formula of derivatives,…

Q: What is the derivative of y = sin(3x²) cos(3x²)

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

Q: Estimate the root very near x = 0.4 of 4(x*)" - 4(x²) + 1 = 0 using the Newton- Raphson Method with…

A: Consider a function:  fx=4xx4-4x2x+1      =4x4x-4x2x+1

Q: Evaluate the derivative of y = sin'6x + In /1- 36x, where x= 0.125. dx |x= 0.125 U (Type an integer…

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Q: use the general power rule or the shifting and scaling rule to compute the derivative  Y= cos4(ϴ+6)

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Q: 1. у %3D 4x? — Зх — 2.

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Find the derivative using the product rule. y = eX In x

A: y=exlnx

Q: Compute the derivative using derivative rules that have been introduced so far y = cos4 θ

A: This question is taken from the derivative in which we have to find the derivative of the given…

Q: The derivative of sec22x(cos2x−sin2x) with respect to x is?

A: I have appended the formula used in the solution part of the question

Q: Compute the derivative using derivative rules. y= cos(1/x) / (1 +x 2)

A: Derivative: The rate of change of a function with respect to a variable. y=fxy'=limh→∞ f(x+h)-f(x)h

Q: Find the derivative of ,In sin-1) y = e %3D

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Q: Find the fourth derivative of f (z) = 2" + In (x) – 160z. %3D Enclose arguments of functions in…

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Q: Compute the derivative using derivative rules. y = (cos 6x + sinx 2)1/2

A: y=(cos 6x+sinx2)12

Q: 10. y = Jx

A: We have to find derivative of - y=f(x)=1x using delta method. Delta method to find derivative is…

Q: Find the derivative of the function. Simplify wherepossible.   y= Sin-1(2x + 1)

A: To find: Derivative of sin-1(2x+1)

Q: Find the derivative of the function f(x) = at sin(7x + 14) + In(2r+10)

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Q: (1+x²-1) y = tan²¹ / √₁+x²

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Q: 2. у %3D 3 + 4x — х?

A: We can find the answer as below

Q: Find first and 2nd derivative guncic 2 tan2x 3.

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: Find the derivative and simplify exy -x² = 4Y² %3D

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Q: Which of the following has a derivative of f (x) = 2x (arctanx + arccotx)?

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Q: Find the derivative of the functiony=tan^2(6x)

A: we have to find derivative of f(x)we will use following rules

Q: 9. y = 3x – Vx

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Q: sinx In (2) co cos x

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Q: Find the derivative of f(x) = 9 sinh-' (x²) – 9 In ( Vx4 + 1). %3D

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Q: Find the first derivative by applying the appropriate rules. DO NOT SIMPLIFY the algebra. (a) fx)…

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Q: Find the derivative using the long method 3-t to

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Q: 7. y = Vx + 2

A: Using Delta method differentiate y. And using rationalising.  Follow step 2nd  .

Q: find the derivative by using the definition of a deriviative.f(x)= 1/3x+2

A: according to definition of derivative we will evaluate the derivative of f(x)

Q: Find the derivative of flx)=Sin(7x'+91Cos(3x?)

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Q: 1. y= ArctanB %3D 3-V9-x2

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Q: Find the derivative dydx of the lemniscate of Bernoulli given by the equationr2=cos2θ.

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Q: Find the derivative of:-6 sin(- 2x*). Hint: sin (x) [sin(x))*...so .so use the chain rule (twice!).

A: We will find the derivative of the given function.Below find the solution in the image.

Q: Find the derivative of y = /sin (7x + In(5x)) %3D

A: Here we have to find derivative of given function.

Q: Use Delta method to find the derivative of e*

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Q: Find the third derivative of y = (8x 1) solution and upload it on the designated field in jpeg or…

A: The given equation is y=8x-114to find the third derivative of the given function. Differentiation is…

Q: Find the fifth derivative using product rule y = sin3xcos4x Where r is the last digit of your…

A: The fifth derivative of the given function can be found by differentiating the given function five…

Q: Find the derivative of f(x)= 11x^2 at x=1 please use definition of derivative formula

A: Given :   y = 11x2    at x =1

Q: Compute the derivative of y= sqrt(3−x2)+sin^−1(5x).Answer: y′=

A: The formulas that we use is written on the board .

Q: Find the derivative of F(x) = tan (5x + 7), by first principle of differentiation

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Q: s(w) = In( w - %3D

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Q: Find the derivative to by implicit differentiation Sinx +4 cos y=3

A: