differentiate the function: y= ln(x^9 sin^2(x)) y'(x)=

Q: Find dy/dx by implicit differentiation   2x3 +x2y  -xy3  = 2

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Q: 11. y=3x+ ln x %3D

A: Topic - derivatives

Q: Use implicit differentiation to find dy/dx. ln(xy)+2x=35

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Q: 3 dx|

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Q: 14. If x2 + y2 13, find at (2, 3). dx2 %3D

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Q: Find  dy dx by implicit differentiation. tan−1(4x2y) = x + 5xy2

A: tan−1(4x2y) = x + 5xy2 We differentiate both sides with respect to x using the product rule and…

Q: Find the derivative. Simplify where possible  y = cosh (ln x)

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Q: dy Find by Implicit differentiation. dx

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Q: Determine the derivative of the function y=arcsin 2x / 1+x2 at x=2.

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Q: Compute for the derivative of the function using logarithmic differentiation g(y) =…

A: Logarithmic differentiation: - The use of logarithms to derive the derivatives of some difficult…

Q: Find the anti-derivative: x2/3 dx. Upload Choose a File

A: Using simple integration method to solve the question.    Attached below is the detailed solution.

Q: 2. Use logarithmic differentiation to find first derivative of y (sinx)r

A: Formula used: ddx[u(x)v(x)]= u(x)v(x).ddx[ln(u(x)).v(x)] ddx(u.v) =dudx.v + udvdx

Q: Show that (x ln(x)) ‘ = 1 + ln(x) using the Product Rule for Differentiation.

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

A: Given that: 9x3+x2y-xy3=1

Q: Find the derivative of the function y = x(arcsin x)2 − 2x + 2√(1 − x2) arcsin x

A: Given: y=xsin-1x2-2x+21-x2sin-1x. we have to find derivative of given function for that we will use…

Q: 6. y%= arcsin a Va2-x2

A: Given: 6. y=xa2-x2-arcsinxa

Q: Use logarithmic differentiation to find the derivative of the function. y = (sin 3x)In x sin()…

A: Formula used:If (x) and g(x) are two differentiable functions, then following rules  are efined as;

Q: Find y''' (3rd derivative) of y = sin^2 (tan(6e^x))

A: Here,              We have given a function and we have to find its 3rd derivative.         So , the…

Q: What is the derivative of * y = arctan(x2 + 1)?

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Q: Find the derivative of the function. y = sin-(2x + 1) y' = %3D

A: We need to evaluate the derivative of the following function y = sin-12x+1 Formula Used : ddxsin-1x…

Q: (1 point) Find dy/dx by implicit differentiation. x + y = 6 + x

A: Given: x+y=6+x2y2

Q: Calculate the derivative of y=arctan√ex at x=0.

A: We differentiate both sides with respect to x using the chain rule.

Q: Find dy/dx by implicit differentiation. x²y³ -yax dy/dx =

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Q: Find dy/dx by implicit differentiation. x4 + yA 5

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Q: Use logarithmic differentiation to find the first derivative. Enter your answer without fractional…

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Q: Find the derivative of y given that y = In (sinh x) %3D

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Q: implicit derivative to find dy/dx of    xy + arcsin(y)+2^y=ln(x)

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Q: 7 dy if Use implicit differentiation to find 8. dx dy dx +

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Q: Find the derivative of the function. y = sin(tan 3x) y' = II

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Q: Find dyydx by implicit differentiation. 1 + x = sin(xy2)

A: In implicit differentiation we differentiate the terms in LHS and RHS and then re-arrange the terms…

Q: Find dy ldx by Tmplicit differentiation. tanLx-y)=

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Q: Find the derivative of y = arctan(x) by using implicit differentiation on x = tan(y).

A: Consider the provided function y=arctan(x).

Q: Find the derivative of the function. y = arctan 1 + x 1 - X y' =

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Q: Integrate xtanx with respect to x

A: We have to solve this integral by  Integration by parts rule, Formula is  ∫uvdx=u∫vdx-∫u'∫vdxdx

Q: use logarithmic differentiation to find thederivative of y with respect to the appropriate variable

A: The function given is y=sinθθ Take log both the sides, ln y=θ lnsinθ To find the derivative of the…

Q: find dy/dx by implicit differentiation yetan-1 x = 2

A: y·etan-1x=2

Q: Determine the second derivative of the function y=arcsin x2−1 / x2+1.

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Q: Find the derivative of the function. y = xV 25- x2 + 25 arcsin 2

A: Follow next step

Q: What is the derivative of y = arctan(x² +1)?

A: Find the derivative of the function

Q: Va2-x² Y=Arc sin + a

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Q: dy Find by implicit differentiation. dx ху — ху" %3 8 -

A: Implicit differentiation: Differentiate both sides of an equation with two variables by considering…

Q: by implicit differentiation. 8. Find dx sin(xy) = 1+ cosy,

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Q: I FIND THE SECOND DERIVATIVE(y") OF THE FF IN ITS SIMPLIFIED FORM 1. y = Arcsin(- Vx²+4

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Q: 9 y = Arctan(+x, 1- 2x

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Q: 1+y* 3+ sec(y)

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Q: dy Use implicit differentiation to determine given the equation x° + y* = - 1. dx

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Q: 3rd derivative of y sin 3x

A: Here we have to find the 3rd derivative of           y = -1/sin(3x)

Q: · Find dy/dx by implicit differentiation. 6. 2x? + ху — у? — 2

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Q: Find the derivative of the function. y = sin(tan(8x)) y' = %| II

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Q: Find the derivative of the function. y = ln∣sec x + tan x∣

A: given function, y= ln | sec x + tan x| we have to find the derivative of the given function