Find derivative of: g(x) = sin(x-3x2)

Q: Find the first derivative of y=x arcsin x + √1-x²

A: y=x arcsinx+1-x2

Q: Find the derivative of the function by definition 1 1- f(x) = 2x +3

A: Given f(x) = 12x+3 Consider f'(x) = limh→0f(x+h)-f(x)h= limh→012(x+h)+3-12x+3h=…

Q: . Use implicit differentiation to find the first derivative of x + 2xy =5

A: As per our guidelines we are supposed to answer?️ only one question. Kindly repost other question…

Q: find the derivative  f(x)= square root of 1-sin2x

A: The given funtion is,

Q: Find the derivative of the function by using the rules of differentiation. f(x) = −5x2

A: The power rule of differentiation states that the derivative of ddxxn=nxn-1. The main objective is…

Q: Find the derivative of g(x) = 4x tan x.

A: The given function is: g(x)=4x5 tan(x)

Q: Find the derivative of the given function using the rules of differentiation

A:

Q: Derive the formula for the derivative with respect to x of csc x.

A: We will write cscx= 1/sinx  Then we will use the quotient rule to differentiate

Q: Find the derivative of the following function using the rules of differentiation: g(x) 3xv1+ x?

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Q: アミx2 (-2x) ソ=x

A: topic - derivative

Q: Find the derivative of f(x)= √8-x

A: We can solve using chain rule of derivative in order to solve the given problem.

Q: Find the derivative of the function using the definition of derivative. 1 g(x) 8 + Vx g'(x) =

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Q: 8. Find the derivative of f(x) = (1+x³)' ( 14x + - ) using differentiation rules.

A: topic - derivative of a function

Q: Compute the derivative. f (x) = sin2 x

A: First of all, consider the formula for the chain rule and the given function f (x). Then assume u…

Q: Find the derivative of 5x^2sin(x)tan(x)

A: Given expression 5x2Sin(x)tan(x). We need to find the derivative of it with respect to x.We use the…

Q: 3. Find the derivative of f (x) = 2x²e² tan x.

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Q: Find the derivative of the function.

A: Given: g(x)=arcsin(3x)x

Q: find the derivative by using the definition of a derivativef(x)= the square root of x+1

A: We need to find the derivative using the first principles (without appealing to any standard…

Q: find the derivative f(x)=square root of 1-sin2x

A: The function f is in terms of x.Apply the chain rule and obtain the derivative of the given…

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

A: Given        f(x)=lnx3-10x2+8

Q: Find the derivative of the function f(x) = {x3 - tan tan (4x2 -2)}4

A: The question is taken from the calculus in which we have to find the derivative of given function We…

Q: Compute the derivative sin2(x)

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Q: Find the derivative of the function by definition. 2- P0-x

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Q: Use the definition of the derivative to find the derivative of, f(x)=6

A: topic - derivatives

Q: Find the derivative of the function g(x)=x3∫x2tdt.

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Q: f(x) = 9x²

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Q: Find the derivative of the curve f(x) = 3x² - 6x + 1. Use the result to find the slope of the…

A: Follow the procedure given below.

Q: Differentiate f (x) = In(vx² + 1 sin* x) and write the derivative in its simplest form.

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

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Q: 2. Determine the derivative of f(x) = sin-'(2x)

A: Topic = Derivative

Q: Find the derivative of f(x)=(−x^3−6x^2−6x)sin(x).

A: See the attachment

Q: Find the derivative of the function cos (x) using the definition

A: We have to find the derivative of cos (x) by using definition of derivative

Q: Find the second derivative using implicit differentiation of the given xì + yi = a

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Q: Q1. Find the derivative of f(x) = 2x² -- by using the definition of derivative.

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Q: Find derivative of the f(x) = sin-1*- 1 x+1 function

A: To find the derivative of the function

Q: Find the derivative of this function. 9x/(8-tan(x))

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Q: Find the derivative. y = In(x²)tan (3x) %3D

A: Given:

Q: Find the derivative of f(x)=x2-3x. Use the result to find the slope of the tangent line to the curve…

A: Given: fx=x2-3x To Find: The derivative of the given function and the slope of the tangent line at…

Q: Sinx-1

A: Given: y=sinx-1cos2

Q: Find the derivative of f(x) = et tan( – 82° + 5a“). - f'(x) =

A:

Q: Use the Quotient Rule to find the derivative of the function.…

A: Given:          g(x)=sinxx2

Q: Find the derivative of the function f by using the rules of differentiation. f(x) 6x2 = -X +

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Q: 2 y = 3x³+=+6x X

A: We use the formula as given below:

Q: By using implicit differentiation, find the derivative x2 + xy° = x

A: The sum rule of derivative states that the derivative of sum of two functions f(x) and g(x) is given…

Q: function

A:

Q: Find the derivative of (x+5) / (x2-1) with respect to x.

A: Here we have to use formula of derivative  dxndx=nxn-1

Q: (x² +2)S UI -人 S-X

A: →First of all, simplify the given expression using logarithmic property.              ln(ab) = ln(a)…

Q: f(x) = In(sin² x)

A: Given,           fx=lnsin2x

Q: Find the derivative of the given function by using definition of derivative  f(x)= sec(x)

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Q: 1. 1. f(x) = 4x³ · cos x

A: Given: fx=4x3.cosx