What is the derivative of the function  x^8(ln(x)), and what can I substitute for x to make the derivative function equal zero?

Q: What is the derivative of x^6

A: We have to use exponent rule.d/dx(x^n)=n*x^(n-1)

Q: Determine the first derivative of the ff. function y = tan(ln(cot(x² + 3 ln 3x)))

A: Chain rule of differentiation: f(g(x))'=f'(g(x))g'(x) Formulae used: ddxtanx=sec2xddxlnx =1xddxcot…

Q: Find the derivative of the logarithmic functions: y = ln (tan^2 θ )

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Q: What is the derivative of `y=\ln\ x`?

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Q: Shows the derivative function of: 2x² + ln x²(2x² + 5x − 1)

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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: The derivative of y = 2 ln ⁡ x − ln ⁡ x 3 is

A: The given function is, y=2lnx-lnx3

Q: Find the derivative of function and simply it whenever possible y= ln(ln sec x)

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

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Q: What is the derivative of 2(x)ln(x)+x

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Q: Find the derivative of excosh(x)

A: Topic:- Derivative

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

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Q: Find both the derivative and indefinite integral of ƒ(x) = 4 cosh 2x.

A: Here given as ƒ(x) = 4 cosh 2x. Thus

Q: derivative of y = arctan(x2+ 3)

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

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Q: how do you find the second derivative of f(x)=ln(x)?

A: on differentiation we get

Q: How do you find the derivative of y = ln2x8

A: Explanation of the solution is given below....

Q: What is the derivative of ln(sin x + cos x)

A: Consider the given function:

Q: Find the derivative fex=exV3x+2

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Q: Find the first derivative of = (ln x)* 4 y

A: From the given function; y=lnx4 We know that; The Power law: ddxxn=nxn-1 The chain rule:…

Q: Determine the derivative of 6x log3(x)

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Q: What is the derivative of: y ln x − x ln y = 1

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

Q: Find the 4th derivative of the function y=exsinx.

A:

Q: State the derivative rule for the exponential function ƒ(x) = bx.How does it differ from the…

A: Derivative rule for bx. The derivative of fx=bx is given by f'x=bx lnb.

Q: Find the second derivative of the function. g(x) = √x + ex ln x

A: Consider the given function gx=x+ex lnx Now, differentiate the given function with respect to x…

Q: What is the value of the second derivative y" at the point (4,3)

A:

Q: How to solve for the second derivative?

A: The objective is to solve for the second derivative. Consider a function fx=3x4

Q: 1. Use logarithmic differentiation to find first derivative of y = xsinx

A: As per our company guidelines we are supposed to answer only first question. Kindly repost other…

Q: Find the derivative   Y=ln(4+X^2 )

A: The given function is,

Q: The first derivative of the function y = 3x cannot be solved using implicit differentiation. Select…

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Q: Find the derivatives of function (log x)tanx

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Q: What is the derivative of: log x/(x+1)

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

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

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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: What is the Derivative of: y = extan x

A: Given: y=ex tan x To Find: dydx=?

Q: Find the second derivative of 2x^2 ln (1/x^2)

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Q: What is the Derivative of yx

A: f(x) = yx

Q: 4. y=ln(4x' +5)

A:

Q: If y=Inx-x, then second derivative (y ) is-

A: The given function is y=lnx-x4. Evaluate the derivative of the function as follows.…

Q: what is the second derivative of -y/x

A: Apply the quotient rule, If f=uv,thenddxf=vdudx-udvdxv2 If f=-yx, where y is the dependent variable,…

Q: Find the first derivative of the function below: f(x) = arctan(sec(x ))

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Q: How would you find the 65th derivative of sin(x)? Is there a pattern that occurs that allows you to…

A: Let y = sinx.Compute the first derivative of y as follows.

Q: What is the 2nd derivative of y=cosh(x+y)?

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Q: Find the derivative of the logarithmic functions: y = ln ( 4x^3 - x^2 + 1^2)

A: Application of derivatives

Q: h (x)= 3

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Q: 7. y= ln 2x³ 5х-3

A: Explanation of the answer is as follows

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

Q: derivative of log,10x is :

A:

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: