Find the derivative of y= log, (5x³)+log, (sin.x)

Q: Find the derivative of a power function with the negative exponent y=x−n.

A: We will use the power rule:

Q: Find the derivative of y = sin x³ cos x?

A: As per our  guidelines we are supposed to answer only one question. Kindly repost  others  questions…

Q: Find the derivative of y with respect to x if y = (11x2 - 22x+ 22) ex.

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Q: sin

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Q: Find the derivative of the function y = sin '(- (5x + 4)).

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

Q: What is the derivative of y = sin (x³ sin (x³ – 3x)?

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Q: Find derivative of function. y= sin square root of 1+x^2

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Q: Find the derivative of the function. y = −6 sin 3x4

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Q: find the derivative of y with respect to the givenindependent variable. y = θ sin (log7 θ)

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Q: Find the derivative of the function. y = sin-(9x + 1)

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Q: In y=e³ sinx

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Q: Find the nth order derivative of the function y=sin2x.

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Q: Find the second derivative of the function. y = x sin2 x

A: Given information: The function is y==xsin2x To find the second derivative, first differentiable…

Q: Find the derivative of f(x)=[sin(3x)]^3

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Q: Find the derivative. y = (ln x)2

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Q: Use logarithmic differentiation to find the derivative of y with respect to the given independent…

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Q: Find the derivative of y=sinh-17x

A: Given:y=sinh-17xHyperbolic Identity:cosh2x-sinh2x=1Differntiation formula:ddxsinx=cosx

Q: Find the derivative of y = 3x2 sin x.

A: Given: y=3x2sinx for finding derivative of given expression we will use product rule given below…

Q: Find the derivative of function. y = ln(5x3 - 2x)3/2

A: To find: The derivative of y=ln5x3-2x32. Formula used: Logarithmic power rule: ln ab=b·ln a Chain…

Q: Find the derivative of 1. y= tan (x* + 3x³)

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Q: Find the derivative of the function f(x) = 7x sin(4x).

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Q: Find the derivative of the function. Simplify wherepossible.   y= Sin-1(2x + 1)

A: To find: Derivative of sin-1(2x+1)

Q: (3x+4` x² +5, y = tan

A: We know that d(tanx)dx = sec2(x) Now we will apply chain rule , Here we have    y = tan3x+4x2 +…

Q: Find the derivative of y= ln (6X^2+3X)^3/(7X-2)

A: Topic-Derivative

Q: Find the derivative of the function. y = 3 tan-(x - V1+ x?

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Q: Find the derivative of the function. y = x2 ln x2

A: Consider the provided question, We have to find the derivative of the given function,

Q: Find the derivative of the function y = x² cosh²3x

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Q: find the derivative of y with respect to the appropriate variable.23. y = (x2 + 1)sech (ln x)

A: Definition used -             ddxsech(x) = -tanhxsechx          Product rule of derivative -…

Q: Find the derivative of the function. y = -4 sin 7x

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Q: Find the derivative of the function.

A: The given function is y=x2-sin2x4

Q: Use logarithmic differentiation to find the derivative of y with respect to the given independent…

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

Q: Find the derivative of the function. y = ln∣csc x∣

A: Given data:   The given expression of the given function is: .   Substitute u for csc x in the given…

Q: Find the derivative of the function. y = 2 sin4(4x2)

A: y = 2 sin4(4x2) dy/dx = ?   Useful formulas:ddx xn = nxn-1ddxsin(x) = cosx

Q: Find the second derivative of the function given by the equation x+y=ex−y.

A: Using implicit differentiation and the chain rule we find y'

Q: What is the derivative of y = sinx x³ ?

A: Given that,   y=sin xx3

Q: Find the derivative 4 y = In x +

A: It is given that- y=lnx+4x To find the derivative of y, use the addition rule, i.e.,…

Q: Find the derivative of the function. f(x) = ln(4x)   f '(x) =

A: Given function

Q: Find the derivative. y =(ln(ln x))3

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Q: What is the derivative of (ln(3x))/x^6?

A: Let y = (ln(3x))/x6.The derivative of y is with respect to x as follows.

Q: 8x+9 In(, x3 dx

A: Here we will sove derivative of given function,

Q: Find the first derivative of y = cos*x- sin*x.

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Q: find the derivative of y=sin2(3x).

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Q: x² q(x) =- sin(x)

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Q: Find the derivative of the function. y = x² cosh²3x

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Q: 4.x³ (log3 x)° b. y = (csc5 x) /sinh(2x – 8)

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Q: Find the derivative of the function. X +8x + 3 y3D VX

A: Here we use the quotient rule of differentiation ddxuv =vdudx-udvdxv2

Q: Find the derivative of V(x) = ln(sin x) – (x4 – 3x)10

A: We can find the derivative as below.

Q: Find the derivative of the function y = ln 5x/(1 − x)

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Q: Find the derivative.  y = ln((x + 1)(2x + 9))

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