The derivative of y x²+1 is х2—1 =

Q: Evaluate the derivative of y = cos '2x - In 1-4x, where x = 0.125 -12> 2

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

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Q: Find the derivative of the function.

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Q: * Find the fourth derivative 1 y=x²- HJXJ

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Q: Find the 1st derivative: Complete Solution.  y=2cos2 t/2

A: y=2cos2 t/2

Q: Find the derivative of y with respect to x. 4. (x² - y²)² = 4ay²

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Q: The derivative of the function y = tan(In(vx² – 6x + 1)) is: 2 -

A: Chain Rule : (fg(x))' = f'(g(x)).g'(x). d(ax+b)ndx = n.a(ax+b)n-1 dtanxdx = sec2(x)

Q: Find the derivative of the function. A y = 7tan-(x - V1 + x²) %3D (2* * I^ -

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Q: What is the derivative of y e2x –1

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Q: Find the derivative of y = (x - 1) 2× + 1 at x = 2.

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Q: Find the derivative of the function. 4 y = 3x3 - 13x - x6 dy dx

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Q: Find the derivative of f(x)=x^2 e^2.5x

A: Given problem:- Find the derivative of f(x)=x2 e2.5x

Q: 1 y = V2x+5 /2х+5

A: By see this solution

Q: Find the derivative of y with respect to x if y = (13x - 26x+26) e -8x y =D %3D

A: Explanation of the answer is as follows

Q: Find the derivative y = (2x – a) (x² + e-")

A: We havey= (2x-x3)(x2 + e-x)

Q: Find the nth-order derivative of the function y=(3x2−2x)lnx, x>0.

A: Use the product rule

Q: Find the derivative of the function y=2x+12x−1 at x=1.

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Q: Find the derivative with respect to x of 1 f(x) V3x + 9

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Q: Find the derivative of y with respect to x. y = cos1 (5x2 + 4) 10x + (5x2 + 4)2 -10x Vi- (5x2 + 4)?…

A: The given function is  y= cos-1(5x2+4)  We have to find the derivative of this function w.r.t. x

Q: What is the derivative of y = 4 coth^-1 (9x-3)

A: Concept: Hyperbolic function derivative: As differentiation of a function establishes the rate of…

Q: dx V9-x2

A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

Q: Find the derivative of f(z) = 3+ 2x² – 2y² + i4xy .

A: We find out the derivative of given function .we differentiate both sides with respect to z and take…

Q: Let y=x(lnx)^2. Find the value of x for which the second derivative y"(x), equals zero.

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

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Q: Find the derivative of the following using the three-step rule Зх-1 1. у3 2x +5 2. y=Va² +x?

A: Using three step rule.

Q: The derivative of the function y = x² In(x + 1) is:

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Q: Find the second derivative of y = Vx² +x-3 O 6/x O 12/x^5 O 6/x^2 O 12/x^3

A: dxndx =n.xn-1 dcdx =0 ; where, 'c' is an constant number.

Q: Find the first derivative of with respect to x using the increment method y=3x^2-7x+12

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Q: Find the derivative of the function. f(x) = e In( Vx + 8 f'(x) =

A: Given, f(x) = ex ln(x+8) We have the formulas d(ex)/dx = ex                       ...........(1)…

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 derivative of the following: 1. y=x(VT- x³)

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Q: 4. F(x) = (1-t) dt

A: To find the first derivative

Q: find the second derivative of y = x In x A 1/x в) 1/2х D) 2x

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Q: Find the given flx), + 2x derivative of function. %3D a+x

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Q: Evaluate the derivative So (3t² – 2t +1) dt. -

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Q: Find the derivative with respect to x: y = x3- 3*

A: The given function is: y=x3.3xWe need to find the derivative of y with respect x.Recall the…

Q: y = 5v 3vã х

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Q: Find the derivative of the given function y = (2x+ 5)v4x – 1

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Q: The 60th derivative of x with respect to y of y = x^60 is 60!x

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Q: Find the derivative of the function y = x2x+1

A: We have to find derivative of the function: y=x2x+1  In this situation we use logarithmic property…

Q: Find the derivative of the function. y = 3x 8 * - 12x - dy dx II

A: Explanation of the answer is as follows

Q: Find the second derivative of vx - Jy= 4 when x = 1. 2 1 -1 -2

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Q: Find the derivative of the function. y = x*V25 - x²

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Q: I FIND THE INDICATED DERIVATIVE IN ITS SIMPLIFIED FORM: (x³-5x)* 1. у3D ; d'y/dx³

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Q: Find the derivative of f(x)=

A: We use the quotient rule of logarithm to simplify the expression

Q: Find the derivative of the function. y = -5x In (2x + 9) dy xp

A: Topic = Derivative

Q: Find the derivative, or y', of ³ – Vy = ¿y² + 6 at (2,1).

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Q: Find the derivative of the function: f(x) = Vx + Vx + 1 1 +

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