Question

Can someone please help:
f(x) = (1+(1/x))(cos(sqrt(x^3)))
f'(x) = ?

Answer 1

\[f(x)=(1+\frac{1}{x})\cos(\sqrt{x^3})=(1+\frac{1}{x})\cos(x^\frac{3}{2})\]

Answer 2

yes...

Answer 3

Apply product rule and use chain rule for the composite cos function

Answer 4

i'll give it a shot..

Answer 5

\[\frac{ -1 }{ x^2 }\cos (x ^{\frac{ 2 }{ 3 }})+(1+\frac{ 1 }{ x })(\sin (x ^{\frac{ 2 }{ 3 }}) * \frac{ 2 }{ 3 }x ^{\frac{ -1 }{ 3 }})\]

Answer 6

is this correct..?

Answer 7

the power is 3/2 not 2/3 and there should be a minus with sin

Answer 8

oh i see

Answer 9

do i just simplify from heree

Answer 10

No, you can leave it as it is, apart from a little minus sign mistake, you did pretty well, you wrote the powers wrong but if you've wrote them right Im sure you'd have done it correctly

Answer 11

thank you very much ! :)