Question

The derivative of 8^x+8*7^x

why do u get ln8+8x...

Answer 1

8^x*

Answer 2

most likely it is a consequence of way it is worked out ....

Answer 3

yousually there is a ln(y=b^x) thing going on to ease the process

Answer 4

So anything raised to the x would be like this 6*ln(6)

Answer 5

almost, but sure

Answer 6

y = a^x where 'a' is be any constant

dy/dx = ln(a) a^x

Answer 7

best done using implicit differentiation

let y = a^x
taking log both sides.
ln(y) = x ln(a)
1/y dy/dx = ln(a) => dy/dx = y ln(a) => a^x ln(a)

Answer 8

the other way is to change a to e

let a = e^u
ln(a) = u ln(e) = u

therefore we have y = e^(ln(a)x) => use chain rule here, you will get the same result.

Answer 9

*** a = e^ln(a)