Question

Differentiate 5^x ( hint 5=e^(ln5)
Anyone know this

Answer 1

I sub the 5 first and made it e^xln5

Answer 2

correct! continue with the differentiation.

Answer 3

Hw do i derive e^xln5

Answer 4

You have
5^x = e^(xln5)
ln5 is just a constant.
can you differentiate e^kx?

Answer 5

K e^kx

Answer 6

Perfect!
So replace k by ln5 and you have it!

Answer 7

So it wuld be ln5 e^xln5

Answer 8

But the answer is 5^x.ln5

Answer 9

Oh i get it so u just sub 5 back thank u

Answer 10

Remember we had 5^x = e^(xln5)
so use this to simplify
ln5 e^xln5

Answer 11

Yep.
You're welcome!