Question

A, Differentiate. y = x3 5 − x2 y' = B, Differentiate. y = x +...

A,

Differentiate.

y =

x3
5 − x2

y' =

B,

Differentiate.

y =

x + 7
x3 + x − 8

y' =

C,

Differentiate.

y =

3 − sec x
tan x

y' =


D,

Differentiate.

y =

t
(t − 1)2

y' =


E,

Differentiate.

y = 9x2 sin x tan x

y' =

F,

Suppose that

f(5) = 1, f '(5) = 4, g(5) = −9, and g'(5) = 8.

Find the following values.

(a)    

(fg)'(5)




(b)    

(f/g)'(5)




(c)    

(g/f)'(5)

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