Find the derivative of y=−13e^(−0.9t)

Question

pulsified333 · Answer

@satellite73

zepdrix · Answer

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.

zepdrix · Answer

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

zepdrix · Answer

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

pulsified333 · Answer

oh okay

pulsified333 · Answer

@zepdrix that didn't work

zepdrix · Answer

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

zepdrix · Answer

Do you understand how to take derivative of 0.9t?

pulsified333 · Answer

9/10?

zepdrix · Answer

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

zepdrix · Answer

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

pulsified333 · Answer

ah now it worked :D thanks

zepdrix · Answer

yay :)