What is the first-order derivative of y = x^y?

Q: What is the First Derivative Test for Local Extreme Values?

A: What is the First Derivative Test for Local Extreme Values?

Q: find the derivative of tihe unction?

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

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Q: Calculate the derivative indicated.

A: given,        A=dPdVV=-2     where P=7/V

Q: What is the derivative of ex? What does it mean that the derivative is equal to the value of the…

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

Q: Find the derivative of x/ex^2.

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Q: What is the meaning of a derivative?

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Q: Find the 3rd derivative of the function y=xsinx

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Q: ) y = In³ )) (tanh²(scc '(x²)

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Q: The instantaneous velocity of a particle is defined as the derivative of some functions. Select one:…

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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: f(x)= xe* In(x³)

A: f(x)=xe-xln(x3)According to question we have to calculate the derivative of the function.

Q: Compute the derivative of y = ln ( – V1 – 2 cosh x (x° + 2) |

A: To compute the derivative of,  y=ln1-2 cosh x .x3+2x.x-1.

Q: Estimate the derivative of f(x) = sin x at x = π/6.

A: Given,       f(x) = sin x at x=π6

Q: Find the derivative of the function. rlx) = [in[x*}}°

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Q: 2.Find the derivative of y = In cosh x. %3D

A: Using chain rule of differentiation.

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

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Q: calculate the derivative with respect to x. ln x + ln y = x − y

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Q: Calculate the second derivative y : Vx - /y = 1

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Q: Are critical numbers from the first derivative used in the test for concavity?

A: We have to tell that  critical numbers from the first derivative used in the test for concavity or…

Q: Calculate the derivative. 1 y = log 5x y' =0

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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 derivative of y=xsin2x

A: We will need product rule. Assume, u=x and v=sin2x. Now, we have u=x ⇒u'=dudx=dxdx=1  and v=sin2x…

Q: Estimate the derivative of f(x) = sinx at x = π/6

A: Since,it is known that the derivative of the function with any variable measures the rate of change…

Q: Determine the derivative of y. アミeV10x+5

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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: What is the first derivative of the expression (xy)× = e?

A: See the details solution in below

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

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Q: Find the derivative of y given that y= x In x et

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Q: What is a higher-order derivative?

A: We create, or derive, a new function f'(x) from a function f(x) called as derivative of function…

Q: Find the derivative of y = etanx

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Q: Find the anti-derivative of

A: Answer and explanation is given below

Q: What is the difference of antidifferentiation and anti-derivative?

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

A: Given that,   y=sin xx3

Q: Find the most general anti-derivative

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Q: What is the derivative of:  ex / x2

A: The given function is: fx=exx2   As we know that; The Power law: ddxxn=nxn-1 The Quotient rule:…

Q: Find the portial derivative of

A: Follow 2nd step.

Q: What is the derivative of y = ekx?

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

A: Find the derivative of the function

Q: water leaking onto a floor creates a circular pool with an area that increases at the rate of 3…

A: Let  A=π r2 differentiating A with respect to time tdAdt=2πr…

Q: What is the second derivative of y = sec “(3 x) ?

A: For the question 1, none of the options match. If the question had asked for first derivative of y…

Q: Find the value of the derivative of the function y=sinx/3 at x=2π.

A: Here given as Differentiate the above function with respect to x

Q: Find the derivative of y with respect to x for y=2x   ???

A: y=2x

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

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Q: calculate the derivative y = cosh−1(3x)

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Q: Calculate the derivative of the function y=log2 x ln (2x) at x=1.

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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: What is the difference between a derivative and an integration?

A: We have to state the difference between a derivative and integral.

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: