The median home price in a particular country over the period January 2010 to January 2015 can be approximated by P(t) =1.7299t+249 thousand dollars where t is years since 2000. Find P" (10), the second derivative at t = 10. %3D

Q: 3.) y = log2 – 6·x³

A: Explanation: Given that,  y=log2(-6x3)

Q: Find the derivative. y = e(lnx)2

A: dydx=ddx e(lnx)2        =e(lnx)2 ddx2(ln x)         =e(lnx)2 2x

Q: Find the derivative of function.

A: To find the derivative of the given function                                                y=log…

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A:

Q: Find the derivative of the function. y = tan an-¹ (√x-4)

A: We can find the derivative using chain rule as below.

Q: Find the derivative using the logarithmic y=ln (x+1)/x^2-2

A:

Q: ex = cosy

A:

Q: Find the nth-order derivative of the function y=x3sin2x.

A:

Q: y = log v2x + 5

A: i have provided this answer with full description in step-2.

Q: Find the derivative of function. y = log(2x)

A: A composite function is differentiated as follows: ddxfgx=f'gx·g'x

Q: find the derivative of y with respect to the givenindependent variable.

A:

Q: L(x) = In(x)+log,(x)

A: Used formulas : ddx(logax) = 1x ln a ln x = loge xloge e = ln e = 1ln 5 =1.61

Q: In(x²) What is the derivative of

A:

Q: Find the derivative, if y3 (log x)* + y = (log x)* +(sinx) -1

A:

Q: . Find the  n th derivative of each function by calculating thefirst few derivatives and observing…

A:

Q: x+1

A: By using the formula you can solve the given problem as follows :

Q: Find the derivative of the logarithmic function. 6 + y = In

A:

Q: Find the derivative of y =log2x

A:

Q: Here is the graph of the second derivative of a function g(x). g"(x) Where does g(x) have a point of…

A: Inflection point is at that x value where the double derivative of the function is 0.

Q: Find an expression for the derivative of the exponential function y=ex using the definition of…

A: To determine the derivative of exponential function y=ex using definition of derivative.

Q: find an equation of the tangent line at the point indicated. y = log2(1 + 4x−1), x = 4

A: We have to find an equation of the tangent line at the point indicated. the given function is…

Q: Find the nth-order derivative of the function y=x2cosx.

A:

Q: Find the derivative of the function y = (1/2) arctan e2x

A: Given function is y=12tan-1e2x Chain rule of differentiation states that: ddxfgx=f'gxg'x And also we…

Q: y = In(tanh 2x)

A:

Q: Match the graph of the above function with the graph of its derivative. 0 ㅇ O 수 +

A: The given graph of the function is the graph of a semi circle. Or positive side of the circle.

Q: y = (cos(x²))*

A:

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A:

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A: We have to find first derivative of    y=etanx   First derivative is dydx

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A:

Q: The second derivative of the function is y = arctan 2x

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Q: (d) y = xnz²

A:

Q: What is the first derivative of s(æ) = 4e"*.

A:

Q: Calculate the derivative of the following function. y = 8 log 2 (x² - 3)

A: Given, To evaluate,

Q: find the derivative of y with respect to the givenindependent variable. y = 3 log8 (log2 t)

A:

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

A:

Q: If y=Incscx, then the value of first derivative (y) is

A: The given function is y=ln cscx.

Q: Calculate the derivative. 3 y = log 3X y' =D

A:

Q: at x: つ:8ー5x, atx=e

A: Given:  F(x) = x3 - 5x ...(1)       and the…

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A:

Q: find the derivative of y with respect to the givenindependent variable. y = log4 x + log4 x2

A: Given: By using logarithm base change rule, the function can be rewritten as follows,

Q: Find the derivative of the function.

A:

Q: If fox) is odd function , then the derivative of y =coshf(-x)) equals

A: here option B is true

Q: find the derivative of y with respect to the givenindependent variable. y = log2 5θ

A:

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A:

Q: Use logarithmic depreciation to find the derivative of y with respect to x

A: Given,  y = x7x+4   We have to derivative of y with respect to x

Q: find the derivative of y with respect to the givenindependent variable. y = log5 ex

A: On simplification, we get

Q: find the derivative of y with respect to the givenindependent variable. y = log3 (1 + θ ln 3)

A:

Q: Find the higher-order derivative. (4 log 2(x – 5)) dx2

A: Given, d2dx24 log2x-5

Q: y=

A: