Z=- 1+x? 2 ; d²z/dx? Y = (3x3 + 2)4 ;y" Y = V(2x + 1)2 yiv %3D

Q: Find the indicated derivative. dy dx 2x² 1- 2 xª – 2x² + 3 for y -

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Q: Y = V(2x + 1)2 yiv %3D

A: Here given as y=2x+123 Differentiate with respect to x…

Q: Find the derivative of the function below. y = 5x sin- x + V 16 - x² dy dx II

A: here is the important formulae which is  used to the given problem: 1) d(xn)dx=nxn-12) d…

Q: Given that the first derivative of x^81+y^81=-36 is given by dy/dx=kx^c/y^c,what is the value of k?

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Q: I FIND THE INDICATED DERIVATIVE IN ITS SIMPLIFIED FORM: (x³–2x)* 1. у- ; d'y/dx? 2. Y = (5x³ + 2)6…

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Q: Find the indicated derivative. for y = dx 1 - 2x2 x* - 2x2 + 3 dy dx II

A: on doing differentiation we get

Q: Find the derivative of y with respect to x. y=secant-1 (x 2+1),   x greater than 0.   dy/dx=????

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Q: Find the derivative of y with respect to x if y = (7x - 14x+ 14) eX. %3D dx

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Q: Find the indicated derivative. If y = x9 - x/2, find fy. dx2 dey = dx?

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Q: Excrcise 2. dy Find the derivative dr where y satisfies the equation Y = In /x2 + y² arctan

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Q: Find the derivative of y = 8x® + 5ª + 21. dy dx ||

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Q: Find the derivative of y with respect to 1. y = In V4x2 + 7x %3D 2. y = sec?(e-4*)

A: A detailed solution is given below.

Q: Z = 1+x2 ; d'z/dx?

A: Given: Z = 21+x2 To find: The derivative, d2 Zdx2 in simplified form.

Q: Find the derivative of y. 30) y- In (sinh 9x) 1. B) sinh 9x A) coth 9x C) 9 csch 9x D) 9 coth 9x

A: Derivative

Q: Q2// A) Derivative following functions by using chain rule m 1) y = Vu, 2) y = 4u, -Va+1 Vx+1

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Q: I FIND THE INDICATED DERIVATIVE IN ITS SIMPLIFIED FORM: (x2-3x)3 1. y= ;d'y/dx 2. Y = (7x + 2)S ;y"…

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Q: 7)y= 2e* +2x -2.x

A: we have to find the first derivative of y

Q: Compute the derivatives. Use the fact that e2+x = e2 . ex to find d/dx (ex+2).

A: ddxex+2

Q: I FIND THE INDICATED DERIVATIVE IN ITS SIMPLIFIED FORM: 2 1. Z= 1+x? ; d²z/dx? 2. Y = (3x + 2)* ;y"…

A: Given function is: y=3x3+24 We have to calculate d2ydx2 or y''. Now we see,…

Q: Find the derivative of the function. 1 6 y = 4x +8x dy %3D dx

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Q: 2. If y = x +3x-2x+1, find the values of the following e. derivative, i. У"(2) d'y ii. dx ii. y" (2)

A: Please refer to the image below

Q: B) Using the definition of derivative, find dy -if y = dx 1-x

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Q: Q1. By using the “definition of the derivative" find of y = v2x? %3D dx

A: Explanation and solutions is given below....

Q: Find the derivative of y with respect to the appropriate variable. y= cosh 2x+2 O A. V(4x + 9)(x +…

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Q: Find the derivative of the function. y = tanh-(6x) V6 1+ 6x y' =

A: derivative of the function..

Q: Find the derivative of the function. y=-6(8x+8)-6 dy/dx=

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Q: Find the indicated derivative using implicit differentiation. x²y – y2 = 5; dy dx dy dx

A: The given function is: x2y-y2=5

Q: What is the derivative of y esin I + cos 2x

A: Given y=esinx+cos(2x) Now we have to find derivative as shown below

Q: FIND THE INDICATED DERIVATIVE IN ITS SIMPLIFIED FORM: 1. Z=- ; d²z/dx? 1+x2 2. Y= (3x³ + 2)ª ;y" 3.…

A: z=2(1+x2) Differentiate with respect to x, dzdx=ddx2(1+x2)-1      =2(-1)(1+x2)-1-1(2x)…

Q: Find the derivative of the given function. y= 6x (7-6x)6 dy dx

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Q: y = e* arctan x y = arccsc (e*) ICCSC

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Q: 2x Using the definition of derivative, find Given y = dy %3D x+8 dx

A: dy/dx from definition of derivative is given below

Q: By using the "definition of the derivative" find 2 of y = v2x? dx

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Q: The derivative of the function y = tan(In(vx² – 6x + 1)) is: %3D

A: Formula:ddx(tan x) = sec2xddx(ln x) =1xddx(xn) =n xn-1

Q: Find the second derivative, dz2 where y is related to x implicitly by the equation below. 2x + 4y =…

A: we have to find derivative

Q: Find the value of the derivative. dy if y =7- 4x2 dx |x= - 2 dy (Simplify your answer.) %3D dx |x= -…

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Q: Find the derivative of the function y = (4x + 5)°(5x + 1)~ª. dy dx II

A: For the solution of the problem follow the next step.

Q: Find the derivative of y Cos3 3x+8 (x). %3D Provide your answer below: y = D

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Q: Find the indicated derivative of the function.   d^2y/dx^2 for y = 4x sin x

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Q: The first derivative of the given function is y = sec?. %3D 2х + 1

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Q: Find the derivative of y with respect to x. y = sec -1 (2x? + 1), x>0 ..... dx

A: The derivative of y with respect to x is to be calculated, where y=sec-12x2+1, x>0. The results…

Q: 1 c. y = 4 sec÷x 4 Arctan 2x d. y

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Q: Find the value of the derivative. dy if y = 3 - 7x2 dx |x = - 3 dy (Simplify your answer.) %3D dx |x…

A: y=3-7x2dydx=0-14x       =-14x

Q: FIND THE DERIVATIVE Of THE GIveM. FUMCTIC 3.) f(x) = Logio( ) %3D 8.) g= arccose-* 9.): y = qsin? x…

A: To find the derivative of the function7) fx=log10xx-18) y=arccosec-x9)y=9sin2x

Q: Find dy/dx by implicit differentiation and evaluate the derivative at the given point. x6 - y? = 0,…

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Q: Find the indicated derivative and simplify. 1 dy for y = 49x' (x7 +2) dx dy %3D - dx II

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Q: Find the derivative of y with respect to s. y3Dsec -1 (7s° + 5) dy ds

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Q: Find the derivative of y with respect to x for y = sinh(15 15x ). -1 dy

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Q: Find the Indicated Derivative dy - 3x* + 2x³ – x + T1, 1. y= 4x5 dx

A: 1. derivate with respect to x

Q: Find the indicated derivative. 1- 2x2 x4 - 2x2 + 3 dy -for y = dx dy dx

A: Recall: uv'=vu'-uv'v2