differentiate the function  y=(x^4 sin^2(x))^(3x)

Q: Find the 24th derivative of y = -sinx

A: Topic = Derivative    The 24th derivative isy24 =-sinx

Q: 2. y = (cosx)(sin5x)

A: We will use product rule of differentiation to find the first derivative of this function. We will…

Q: Use logarithmic differentiation or an alternative method to find the derivative of the function. y =…

A: Given that  y=(sin9x)^(lnx) To find the derivative of y

Q: Va2 -x2 y=Arcsin + 6. X

A:

Q: Use logarithmic differentiation to find the derivative of the function. y = (cos(4x))* y'(x) =…

A: In this question we have to find differentiation by using logarithm.

Q: 29. Find the 5th derivative ofy= sin2x

A: 29. Given function is, y=sin2x. The first derivative of y is, y'=ddxsin2x=cos2x·2=2cos2x   The…

Q: Compute the derivative. (x) = ex sinx

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: Differentiate  y=sin(ln(5x2-2x))

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

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Q: find the derivative of the function by the Logarithmic differentiation method.   y=(cos(x))ln(x)

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Q: Find the derivative using logarithmic differentiation if sin^-1 (2x). y = (tan x) where 0 < x < 1/2…

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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: 2. Use logarithmic differentiation to find first derivative of y = (sinx)*

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Q: Find the first four derivative  if  y= cosx

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Q: Use logarithmic differentiation or an alternative method to find the derivative of the function. y =…

A: We need to find derivative of y = x8 cos x

Q: Use logarithmic differentiation to find first derivative of y= (sinx)*

A: Find the first derivative of the given function.

Q: Find the derivative of the trigonometric function.

A: To Determine: The derivative of y=sinπx

Q: What are the formulas for differentiation and intergration? When to use them?

A: Query- What are the formulas for differentiation and intergration and describe When to use them?…

Q: Find anti-derivative if possible of: sqrt(tan(x))  dx

A:

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: q? sin-! メ

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Q: y = In (csc 2)

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Q: sinx 3. f(x)=(x)*

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Q: Find the derivative of the function. 2 + arcsin 5 () y = xV 36 - x² y' =

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Q: • Use logarithmic differentiation to find the derivative of the function 1. (x+1)* (x2-3)5 y = sinx

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: find the derivative. y = arcsin(ex )

A: Given expression

Q: Find the derivative Y = 2e* arcsin x² Y = arccos (6x°-2x)

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Q: find the second derivative and simplify the final result. 3. 4ln(Arctan x) = 1-y

A: The given function is 4lntan-1x=1-y It can be written as  y=1-4lntan-1x Differentiating with respect…

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: cos X sin x + cosX

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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: find the first derivative of the function. F(x)= (1+sin2x/1-sin2x)^3

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Q: Find the derivative of y= sin cos (tan ax)

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Q: Va2-x² Y=Arc sin + a

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Q: Find the derivative of: sin sin(2x) sin sin(x) + cos (2x) cos(x) ans: -sinx solution?

A: We will use the formula cosA*cosB+sinA*sinB= cos(A-B) , with A=2x and B=x and simplify.

Q: Calculate the derivative. y = cosh(x³)

A: We have to find the derivative of hyperbolic function.

Q: use logarithmic differentiation or the method to find the derivative of y with respect to the given…

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Q: Find the derivative of the function. f(x) = arcsin(7x) + arccos(7x)

A: As per bartleby guidelines if more than one question is asked, only one question is to be solved.…

Q: Find the derivative of  f(x) = sin(arcsin x) / arctanx

A: Let u=sin(arcsinx)u'=cos(arcsinx)ddx(arcsinx)u'=cos(arcsinx)11-x2u'=cos(arcsinx)1-x2Let…

Q: find derivative y=sinx+cosx

A: The given function is,

Q: use logarithmic differentiation to find the derivative of the function fx)=(sinhx)s(sx)

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

Q: use logarithmic differentiation or the method to find the derivative of y with respect to the given…

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Q: 5-cos x 3) f(x) = 5+sinx foo

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Q: What is the derivative of: y = x√arcsin x

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Q: What is difference between the derivative of log(sin(x)) and the derivative of ln(sin(x))?

A: The difference between ln and log is the base of ln is e and the base of log is 10