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

Q: Compute the derivative using derivative rules that have been introduced so far y = (4 - 2x - 3x 2) 5

A: Given: y=4-2x-3x25  ……1

Q: Find the derivative of the function. Simplify where possible. f(x)   = x In(arctan x)

A: Given: The above function contains two functions, so the product rule is used to differentiate.

Q: y3D(i+sinx)(I-sinl)!

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Q: Compute the derivative using derivative rules that have been introduced so far. y = (x 4 + 5)3

A: Given equation is y=x4+53 Applying derivative with respect to x: dydx=dx4+53dx Using the power rule…

Q: Find fi( using the derivative rules tanx y2-3

A: Given, the function is                         We have to find the derivative of this function i.e.…

Q: Compute the derivative using derivative rules. y = 4e -x + 7e -2x

A: Given:     To determine: derivative of the given function

Q: Find the points on the graph of f where the tangent line is horizontal. tangent line is 3x^2-16…

A: The tangent line is horizontal where y'=0

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

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Q: Find the derivative using the long method y = sec x

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Q: 2.) Compute for the derivative (DO NOT USE THE DEFINITION) of A. 2x3 y = tanh sin x2

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Q: Derive the derivative function for secx and express your answer in product form.

A: ddx(secx)=ddx(1cosx)ddx(secx)=cos(x)ddx(1)-1ddx(cos(x))cos(x)2ddx(secx)=cos(x)0-1-sinxcos(x)2ddx(sec…

Q: Compute the derivative using derivative rules. y = tan(x 2 + 4x)

A: We have to compute the derivative of the function: y=tan x2+4x We know the formula of derivatives,…

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 of the function f(x) = 5x² + 3x at the point x = 4. %3D (Give your answer as…

A: We have to find the derivative at that point

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: Determine the derivative of y=(x−1)4 without using the power rule.

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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 at the point indicated without using a calculator. y = sec−1 x, x = 4

A: Given expression

Q: Find the tangent line to the curve y = x^2 −5x + 11 at the point (1, 7). Use the limit definition of…

A: slope of the tangent line is m=dydx at (1,7)   By limit definition of…

Q: Compute the derivative using derivative rules that have been introduced so far y = ex-12

A: To differentiate y=ex-12, with respect to x, apply the exponential rule of differentiation,…

Q: Compute the derivative using derivative rules. y = sec( √t 2 - 9)

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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: Compute the derivative using derivative rules that have been introduced so far. y = (8x4 + 5)3

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Q: 3. Find the derivative of f (x) tan (5x + 7), by first principle of differentiation

A: Given function is By first principle of differentiation, we have

Q: Compute the derivative using derivative rules. y = cos(te- 2t)

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Q: Compute the derivative using derivative rules that have been introduced so far       y = √(7x - 3)

A: To find the derivative: y=(7x-3) Solution: y=(7x-3) Differentiating both sides w.r.t x we get:…

Q: Calculate the derivative using implicit differentiation: x³w + w® + wz² + 4yz = 0 dz az

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Q: Compute the derivative of the function y = 8 sin-(x) at the point x = (Use symbolic notation and…

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Q: Find the derivative of Vry = -3+x*y° using implicit differentiation.

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Q: 9. y = 3x – Vx

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Q: find the derivative of this inverse hyperbolic function f(x) = cosx tanh-1(sinx)

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Q: Find the derivative of f (x) = sin (5x) %3D

A: The given function is f(x)=sin3(5x)                     differentiate with respect to x,

Q: Calculate the derivative of the function below using the quotient rule. 28 y = Va + 8x7

A: We have given a function and we have to find its derivative using quotient rule.

Q: Find the derivative of the function by using thẻ Product Rule. Simplify your answer. f(x) = (Vx -…

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Q: Compute the derivative with respect to x using differentiation rules.  f(x) = (ex / 3 - x)8

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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: Find the derivative of f(x) = x cos x using the product rule.

A: The given function is fx=xcosx.

Q: Find the derivative of f(x)  =(a + 2x2) (x - x2) in twoways: by using the Product Rule and by…

A: We have given function  fx=a+2x2x-x2 At first we  will use product rule:…

Q: Evaluate the derivative of y = (2x – 1)° (x – 2)° at (1, -1). Use theorems of differentiation.

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Q: Calculate the derivative using the appropriate rule or combination of rules. et f(x) = (e + 2)(x +…

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Q: X-2 %3D

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Q: Find the derivative using the definition 1- y = vx -1

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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: (x² +2)S UI -人 S-X

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