if g(t)=4t^3-t^2, find all t for which g’(t)=0

Q: F(t) = e^2t - 8/ 1-t Will this be undefined? And why? And which values of t is the function

A: given F(t) = e^2t - 8/ 1-t

Q: Q2/ Find the derivative of the function (x) =v3x-x by definition

A: Solve the limit for very small change in x .

Q: g(t)=4t^3+3t^2, find g’(3)=

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Q: Sketch the graph of the function. √√x O -4 f(x) = x 4 -2 (x - 1)2 if x > 2 y 4 2 y if x < -1 if -1 <…

A: Given query is to to find the graph and the limits which exists.

Q: 4 Find the derivative of y = 8* +

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Q: On which interval(s) is the function h(t) = (−t^3) + 3(t^2) + 24t − 11 decreasing?

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Q: 1 df For the function y = f(x) = x - 4x – 3, x > 2, find dy 1 (f ')'(– 1) =

A: f(f-1(x)) = x is one of important property  of functions Let y =f-1(x) f(y) =x Differentiate both…

Q: Find f if f'(x)=20x^3+4x+4 and f(1)=-2

A: Given,           f'x=20x3+4x+4  and f1=-2

Q: differentiate y = (x - 1)/(x + 1)

A: Given function: y=x-1x+1 Differentiate the above function w.r.t 'x' dydx=ddxx-1x+1

Q: If t(x)=5(9^x), find t′(x).

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Q: Find the first and second derivative if w = 3z-2-(1/z)

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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: Rewrite y = 3 * (8) ^ (t / 15) in the form y^ prime =a(1+r)^ t or y = a(1 - r)

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Q: Let f(x) = 2^x+ x. Find (f ^−1)′(1).

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Q: Letf(x) =x^x^xforx >0.Findf′(x).

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Q: f(x)=2x^2-6x-1, find x so that f’(x)=0

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Q: Use the chain rule to find the derivative of f(x)=10√10x^10+2x^9

A: Consider the given function: fx=1010x10+2x9 Chain rule says that: ddxfgx=ddgxfgx+dgxdx We have,…

Q: The functionf(x) is Find the first derivative in fa Set up a number line with t increasing,…

A: The given function is fx=3x5-5x4. Find the first derivative of the function by the power rule of…