3xVy + бу 3D 12; (2,1)

Q: Compute the derivative using derivative rules. y = (2e3x + 3e-2x)4

A: Solution:Given     y = (2e3x + 3e-2x)4 Formula:ddx(xn)=nxn-1ddx(eax)=a eax

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: Use implicit differentiation to determine the derivative of: tan² (xy² + y) = 2x.

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Q: Find the second derivative of the funcion. y%3D

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Q: Зх-1 5. y = 2х+5

A: We will find the derivative by using the delta function.Below find the solution with details…

Q: Use the definition of a derivative to find the equation of the tangent line at the given point.…

A: The equation of the tangent line is  y-7x+2=0

Q: y = In

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Q: Find the derivative of π^2 .

A: We have to find the derivative of π2

Q: Compute the Derivative sec(4x)

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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: Calculate the derivative.

A: The differentiation is a process of finding the rate of change of one variable with respect to…

Q: Find the second derivative of y by implicit differentiation from the equation * 4x² + 8y² = 36 64x²…

A: Given that 4x^2+8y^2=36 To determine the second order differential eqaution

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: Compute the derivative using derivative rules. y = (9 - (5 - 2x4)7)3

A: Given : y = (9 - (5 - 2x4)7)3   To find the derivative.

Q: Find the derivative of by using the product rule." y = (1+ V) (a 3-2) 3 5 2 2 3 -3x +-X 2- -3x 3.…

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Q: Find the derivative of by using the product rule. " 3 (1+ v=) (- - 25) 3 11 3 -3x 3 option 4 Option…

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

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Q: Use the rules of differentiation to find the derivative of the function. y = -10 y' = %3D

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

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Q: Find the second derivative by implicit differentiation of 8x² + 16y² = 144 at (1, 1) A. В. -3/4 c.…

A: Given query is to find second derivative of the expression.

Q: Find the derivatives of the functions in Exercis

A: Given, y=5-2x-3+182x+14

Q: Determine the anti derivative of the function.

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

Q: Use implicit differentiation to find the 2nd derivative of x2 y + y2 x=-2

A: By using implicit differentiation to find the 2nd derivative of x2y+y2x=-2.

Q: Compute the derivative using derivative rules  y = (x2 + 9x)- 2

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Q: 2. у %3D 3 + 4x — х?

A: We can find the answer as below

Q: Find the derivative of 1-3)* (t3 -8) ,t # 2 2-t

A: Explanation of the answer is as follows

Q: Analyze the stationary points of f(x) = x2ex by applying the second-order derivative test.

A: Stationary points are occurred where the first derivative of the function becomes zero. If the Value…

Q: 1. у %3D 4x2 — 3х — 2.

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Q: Identify the derivative with complete solution.

A: The given function is fx=5sec2x+20 To find: Derivative of f(x) In the given function sec(2x) is a…

Q: Find the first and second derivative if w = 3z-2-(1/z)

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Q: the derivative of

A: We find derivative of given function Use formula sin2x = 2sinx cosx

Q: Find the derivative of by using the product rule. * (1+ væ³) (x-3 – 2a) y =

A: Consider the provided equation, y=1+x3x-3-2x3 Find the derivative of using the product rule. The…

Q: Find the derivative. Using Chain Rule y = (2x2 – 1)3(3x² + 1)³ |

A: According to question,Given Function,y = 2x2-133x2 + 13

Q: Choose the derivative of sec-(æ). 1 1+ 22 1 - 1 1 V1-3 1 aVa - 1 1 1+ 22 1 1 - a2

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Q: Зx+1 5. f(x) %3D 3x2+2

A: f(x)=3x+13x2+2Differentiate…

Q: Find the derivative for ()= 2z²+9 %3D 3-5z

A: Consider the function

Q: Find the directional derivative of the function in

A: Given, the function                                f(x, y)=ln(x2+y2)

Q: Compute the derivative of

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Q: Find the derivative of 4x2 +6y3 by filling the blanks.....

A: *to find:- derivative.

Q: 5z²)* 4/3 %3D

A: (3). The function is given by Hz = 1-5z243 To evaluate: The derivative of the function.

Q: Use implicit differentiation to calculate the value of derivative y' at the solution point (2, y) =…

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Q: Find the derivative of the function f(x) = v4-x2 by definition

A: The given function is f(x)=4-x2 The definition of the derivative is given by: If a function f(x) is…

Q: Compute derivative for the of the

A: Given: hx=log2x232x3

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: Compute for the derivative of 3 y = х |

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

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Q: Use implicit differentiation to find at the point (-2,3) on the curve x³ + y% = 19.

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Q: Find the derivative of the tangent line 3x^2 +3x+3

A: We have to find the derivative of tangent line for the given curve: y=3x2+3x+3 We know,…

Q: 4 Find the derivative of f(x) using first principle %3D 3x2-3 of differentiation.

A: