Find the first and second derivates of the functions. h(t) = t^4 - 7t^3 + 5t^2 - 8t - 14 h'(t)= h"(t)= g(t) = t^2(8t + 9)^4 g'(t)= g"(t

Q: Find the formula for a function of the form y=be^((-(x-a)^2)/2) with its maximum at the point (0,5).…

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Q: Find(f ^−1)'(a).f(x) = 4x^3 + 4x^2 + 7x + 2, a = 2(f ^−1)'(a) =

A: Here a function f(x) is given and value of a is given we need to find the derivative of inverse of…

Q: Find (f^-1)'(a).  f(x)=4x^3+3x^2+8x+9,    a=9 (f^-1)'(a)=

A: Topic:- function and derivatives

Q: find the inverse of V=f(t)=100(1-t/40)^2 then find f^-1(15)

A: Solve as general Replace t to v Solve for v V is inverse of f

Q: x and y intercept of the function

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Q: g(t)=4t^3+3t^2, find g’(3)=

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Q: Find the second derivative of the function. 1x)-(3x²³ +7) Op 63x (7 + 3x) 5 (14+63x³) = f" - 63x (7+…

A: given function is f(x)=(3x3+7)7

Q: f(x)=sqrt(x+1) find f(t^2-1)

A: We have to find the function

Q: y=3e^x + 4/∛x *differentiate the function.

A: Topic:- derivatives

Q: Use the product rule to find the derivative of (– 2x" – 4x“) (7e" + 9) Use e^x for e. You do not…

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Q: Show that there is a real number t such that (e^−t) − (t^3) = 207/(t^4) + 1.

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Q: h(t)=(t^4-9)^3 (t^3+8)^4 What is h(t)=?

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Q: Try getting the derivative using the lengthy steps. y=5x^6 + 2x^5 - 15x^3 - 3

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