Can't find solution to this that makes sense, pls help asap thx

[prime turtle]

$lim_{h\to0}\frac{(a+h)^n - a^n}{h}$

[unreal drift]

ToastyMicrowave

[jagged granite]

what are you asked to do?

[prime turtle]

evaluate the lim

[jagged granite]

it's the definition of derivative
I've actually posted a question related to that in #1110062853983064096
that may help you

[prime turtle]

oh that actually makes sense thanks so much

[iron vale]

@prime turtle has given 1 rep to @jagged granite

[jagged granite]

urwelcome

[prime turtle]

quick question if you don't mind, how do you evaluate $\sqrt{4-4sin^2x}$ to $2cos x$?

[unreal drift]

ToastyMicrowave

[prime turtle]

apparently the Pythagorean identity applies but thats a 4 not a 1

1

[jagged granite]

pull out the 4 out of the square root, becomes:
2sqrt(1-sin²x)
then use the identity:
sin²x+cos²x = 1
cos²x = 1-sin²x
cos x = ±sqrt(1-sin²x)
hence becomes:
2cos x

[prime turtle]

oh makes sense im on 4 hours of sleep not functioning properly

thanks

[jagged granite]

urwelcome