Question

If f(x) = 9x10 tan-1x, find f '(x).

Answer 1

I got 90x^9tan^-1x + 9x^10 1/1+x^2

Answer 2

hmm.. I'm not sure if I'm completely clear on your notation. is this your function?

\(\Large f(x)=9x10 tan(-1x)\)

or

\(\Large f(x)=9x10tan(x)-1x\)

Answer 3

opps sorry its f(x) = 9x^10 tan^-1x

Answer 4

HI!!

Answer 5

hi :)

Answer 6

it is a product, you need to use the product rule

Answer 7

\[\left(fg\right)'=f'g+g'f\] with \[f(x)=9x^{10},f'(x)=90x^8,g(x)=\tan^{-1}(x), g'(x)=\frac{1}{1+x^2}\]

Answer 8

There is also an instance of chain rule that you have to take into account when using the product rule for this particular derivation

Answer 9

oh i didn't even see your answer! it is right !!

Answer 10

oh ok thank you!!

Answer 11

\[\color\magenta\heartsuit\]

Answer 12

lol @misty1212 , well done breaking down the product rule! I think that was very well explained ^_^