A person’s life expectancy can be modeled by the function g(x) = 10.761 ln(x + 1) + 27.98, where g(x) represents the life expectancy of an average person x years after 1910.   During which year was the life expectancy of a person estimated to be 70 years of age?

Q: The derivative in question, solve f´(2) if f(x) = x^3 – 6x^2 + 9x + 3 Determine the largest and…

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Q: use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative. y = (x3 +…

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Q: Find the derivative and second derivative of g(x)=x(100-x^2)^(1/2).

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A: Follow the procedure given below.

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Q: Find the second derivative of the function. f(x) = 5(2 − 7x)ª

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Q: The derivative of an exponential function isn't always another exponential function.

A: Derivative of an exponential function is given by :ddxef(x,y,z) = ef(x, y , z). ddxf(x, y , z)

Q: Find the derivative of function. y = log2(2x2 - x)5/2

A: Given, y = log2(2x2 - x)5/2 To Find the derivative of function.

Q: What is the derivative of y = (-3x²-x+4)e5 ANSE

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Q: Find the derivative of the function.. 8 7 h(x) 218 4 х - h'(x)=

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Q: Find the second derivative of h(x) = x2 + 3x3. Simplify your answer, %3D

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Q: Find the second derivative of the function. f (x) = 5(2 – 7x)*

A: Find the second derivative of the function

Q: Differentiate: f(x)=ln(x5−5/x3) f'(x)=

A: We have to find

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A: Given that h(x)=4x3+2x+5x

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Q: Find the derivative of h(x) = x 2(9x + 2).

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Q: Find a formula for the exponential function passing through the points (-2,-) and (1,10) y =

A: On solving this we will asume firstly general exponential function so  we will get

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Q: Find the second and third derivative of the function (a) f(x) = x6 – 3.x5 – 41x – 73 - |

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Q: The growth rate of the bacterium, a common bacterium found in the human intestine, is proportional…

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Q: Find the second derivative of the function h. h(x) = (10 – x2) (5x + 17)

A: Here, h(x)=(10-x2)(5x+17)

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A: Find the derivative of fx=log35x2+1

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A: Given        f(x)=lnx3-10x2+8

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A: To Find the maximum area of a rectangle in the first quadrant with one corner at the origin, an…

Q: Find the second derivative of f(x) = x+2 X- 2

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Q: 17. f(x) x²(2x+3) (x² +1)*

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Q: Find the indicated derivative and simplify. -[9x log x6] dx [9x log x] = 9x1 dx

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Q: Use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative. y = (x2 +…

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Q: Find the derivative of the function y = log3(x2 − 3x)

A: Consider the following: y=log3x2−3xDifferentiate w.r.t.…

Q: If f(x)=(4x)^(ln x) how would you find f'(3)?

A: Obtain the derivative of the function as follows.

Q: Find the second derivative of h(x)=x2+3x-3 Simplify your answer, if possible.

A: Our objective is to find the second derivative of h(x)=x2+3x-3.

Q: Find the derivative of g(x) = ln(2x + 5)

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Q: Find the second derivative of the function f(x) = 1/(11x − 6)

A: Consider the function  f(x)=111x−6

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Q: Find the derivative of 6x^5(e^x) + x^6(e^x).

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Q: Find the derivative of the logarithmic function. f(x) = 2x² In 2x f'(x)= 4in (2x) + 6

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Q: What are the domain and range of f (x) = ln x?

A: Given function:   Domain: The domain of a function is the set of  input  values for which the…

Q: A population of 15,000 small deer in aspecific region has grown exponentially to 17,000 in 4 years.…

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Q: Find the second derivative of f(x)=(x^2-3)/x

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Q: Find the second derivative of the function. f(x) = 8(2 − 2x)4 f"(x)=

A: Given,

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Q: Find the fourth derivative of  f(x)=7x+ln(x)−125x.

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Q: Find the second derivative of the function f(x) = 5(2 − 7x)4

A: Find the first derivative as shown below: f'x=ddx52-7x4        =42-7x3ddx2-7x        =5· 42-7x3-7…

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