Question

Find the derivative of y=−13e^(−0.9t)

Answer 1

@satellite73

Answer 2

Remember your exponential derivative?\[\large\rm \frac{d}{dx}e^{stuff}=e^{stuff}\frac{d}{dx}stuff\]We get the same thing back, but with chain rule.

Answer 3

The -13 is a constant coefficient,
it has no effect on the differentiation process,\[\large\rm \frac{d}{dx}\left(-13e^{-0.9t}\right)=-13\frac{d}{dx}e^{-0.9t}\]

Answer 4

\[\large\rm =-13e^{-0.9t}\cdot(-0.9t)'\]So just chain rule :)
Multiply by derivative of the exponent.

Answer 5

oh okay

Answer 6

@zepdrix that didn't work

Answer 7

Do you see the ( )' at the end?
The tick mark is to indicate that you need to take the derivative of that portion.

Answer 8

Do you understand how to take derivative of 0.9t?

Answer 9

9/10?

Answer 10

Good good good.
I should have said -0.9t,
which turns into -0.9 through differentiation.

Answer 11

Simplify the problem by multiplying the -13 and -0.9 together.

Answer 12

ah now it worked :D thanks

Answer 13

yay :)