Question

Got a Calculus question. Screenshot will be in the comments.

Answer 1

here u have to use a theorem called leibnitz theorem which is
\[if,\\ f(x)=\int\limits_{a}^{b}g(x).dx\\then\\f'(x)=g(b).\frac{ d }{ dx }(b)-g(a).\frac{ d }{ dx }(a)\]

Answer 2

here u are given
\[f(x)=\int\limits_{5}^{x}t^6.dt\\so \\f'(x)=(x)^6.\frac{ d }{ dx }(x)-(5)^6.\frac{ d }{ dx }(5)\]
getting this?

Answer 3

@Erixanders

Answer 4

See, I got 6x^5 for the first part, but it is saying it is incorrect. Didn't know if I was missing something.

Answer 5

oh sorry my bad it wont be 6x^5 it will be only x^6
\[f'(x)=x^6.\frac{ d }{ dx }(x)-(5)^6.\frac{d}{dx}(5)\\=x^6-0=x^6\\f'(x)=x^6\\f'(4)=4^6\]

Answer 6

now try it it will surely work :)

Answer 7

That did it, thanks!

Answer 8

np :)

Answer 9

Just wondering, where do you get the 0?