2 (2ху) dxdy

Q: find y' for y = 2Vsinx sinh-1(logx). %3D

A: y'=log2· 2sinx-1.cosx.sinh-1(logx)sinx+2sinxxlog2x+1

Q: Find d2y/dx2 by implicit differentiation x3 + y3 = 1

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Q: Find the function whose derivative is 1-e2x

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Q: と FCx) = 1oga x-1 %3D

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Q: find derivative of g(x)=integration3x2x (u2-1)/(u2+1) du

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Q: Find the first derivative of the function y = 2ArcsinV(x/2) %3D

A: Consider the given function, y=2Arcsinx2 It also can be written as, y=2Arcsinx2=2sin-1x2

Q: Find the derivative of function.

A: To find the derivative of the given function                                                y=log…

Q: Find y" by implicit differentiation. x² + 4y² = 4

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Q: Use the first principles delta method to find the derivative of y = x2 – x. %3D

A: Here we have to find the derivative of y by using the first principles delta method.

Q: Find the derivative. y= In x+3 %3D

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Q: Use central difference method to estimate the 1st derivative of the following function at x = 2 and…

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Q: 14. f(x) =(In x)* 3. 15. Н(х) 3D

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Q: compute the derivative f (x) = ln(4x2 + 1)

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

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Q: Vt- 4 V3t - 4 y =

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Q: Find  y''  by implicit differentiation. 4x2 + y2 = 4

A: Given,  4x2+y2=y,we have to find y''Differentiate with respect to x,we get…

Q: apply 1rt and second derivative to sketch graph  1)f(x)=3+7e^(-0.2x) and  2)f(x)=ln(2x+4)

A: In the question we have to draw the graph.

Q: f (x) = ln(x · 5*)

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Q: Find the derivative of y =log2x

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Q: Find dy/dx by implicit differentiation. 9x3 + x2y - xy3 = 1

A: Given that: 9x3+x2y-xy3=1

Q: find an equation of the tangent line at the point indicated. y = log2(1 + 4x−1), x = 4

A: We have to find an equation of the tangent line at the point indicated. the given function is…

Q: Find the slope of the tangent line to the exponential function at the point (0, 1). y (0, 1) -1 1

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Q: Find the derivative of the function. x + 6 X-6 y' = y = In

A: I have appended the formula used in the solution part of the question.

Q: ) 1 = x* + 5y³

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Q: Find the first derivative y= etanx

A: We have to find first derivative of    y=etanx   First derivative is dydx

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: Find the derivative of f (x) =arcosh (4x2 + 2x + 1).

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Q: 3. = 2x-y х+3у

A: We will differentiate the given problem with respect to x.

Q: The second derivative of the function is y = arctan 2x

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Q: 6. Sketch the graph of y= x2+ by using the properties of the derivative.

A: The given function y=x2+2x

Q: Find the derivative of the function. y = In(Icsc(7x)|) y'(x) =

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Q: Find the derivative of the logarithmic function. 3x f(x) = In %3D x+2,

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Q: Evaluate sec' x dx using reduction formulas.

A: The given integral is: I=∫sec7x dx

Q: Find y" by implicit differentiation. 4x3 + 5y3 = 6 У" :

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Q: Find the derivative of the function. f(x) = 18 In(x) %3D

A: Derivative Question

Q: Find the derivative of the function. InV y = In 6 - X %3D y' = %3D

A: Explanation of the answer is as follows

Q: 7. y = Vx + 2

A: Using Delta method differentiate y. And using rationalising.  Follow step 2nd  .

Q: Find y" by implicit differentiation. 5 + y = 6 5x

A: Please refer to the image below

Q: compute the rate of Change of the functioN at x= a. flx)= -2X²-X,Q= -5 instantaneous

A: Given function: fx=-2x2-x

Q: Use Delta method to find the derivative of e*

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Q: Find y'' by implicit differentiation 4x3+3y3=6

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Q: Find y" by implicit differentiation. 4x3 + 5y3 = 1 y" =

A: We will find the y" of the given function using the implicit differentiation.Below find the solution…

Q: b) y = cosh(2Vx+1)

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Q: 1= x* + 5y3

A: The given equation is 1=x4+5y3

Q: Solve for the derivative of the function using chain rule. 6. f(x)= cot(6x3+5)

A: Derivative

Q: Find the derivative of f (x) = In(3x² – x)³ in two different ways; (a) with the chain rule %3D | and…

A: Given fx=ln3x2−x3aUsing Chain Rulelnfx'=1fxf'xDifferentiate w.r.t…

Q: Find the derivative of the function. f(x) = arcsec(7x) 1 f '(x) xV 49x – 1 |

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Q: In x g(x) = 2

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Q: Find the equation of the tangent line to the curve y = log(x2-3x+1) at the point (3,0)

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