Find the derivative of the function. f ( t ) = 8 t 2/3 5 t 1/3 + 7 f \' ( t )= -

ID: 2872411 • Letter: F

Question

Find the derivative of the function.

f(t) = 8t2/3 5t1/3 + 7

f '(t)=

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Find the one-sided limit (if it exists). (If the limit does not exist, enter DNE.)

lim x(1/2)+ 2x2 tan x

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Identify a function f that has the given characteristics.

f(–5) = f(2) = 0; f '(-1.5) = 0, f '(x) < 0 for x < -1.5; f '(x) > 0 for x > -1.5

f(x) = (I THINK THIS HAS TO BE AN EQUATION)

Find the derivative of the function.

derivative of xn=nxn-1

f(t) = 8t2/3 5t1/3 + 7

f '(t)=8*(2/3)t2/3 -1 5(1/3)t1/3 -1 + 0

f '(t)=(16/3)t-1/3 (5/3)t-2/3

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Find the one-sided limit (if it exists). (If the limit does not exist, enter DNE.)

lim x(1/2)+ 2x2 tan x

2(1/2)2 *(-infinity)

=-infinity

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Identify a function f that has the given characteristics.

f(–5) = f(2) = 0; f '(-1.5) = 0, f '(x) < 0 for x < -1.5; f '(x) > 0 for x > -1.5

f(–5) = f(2) = 0==>f(x) =(x+5)(x-2)

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