Differentiate without using natural logs

[Feodalherren]

Homework Statement

$2^{Sin(PiX)}$

Homework Equations

The Attempt at a Solution

= $e^{(Sin(\PiX})ln2$

y'= $e^{(Sin(\PiX})ln2$ d/dx [Sin $\Pi$X] ln 2

and I'm stuck... The product rule will automatically lead to to differentiating ln 2.

 

[LCKurtz]

Homework Statement

$2^{Sin(PiX)}$

Homework Equations

The Attempt at a Solution

= $e^{\sin(\pi x)ln2}$

$y'= e^{\sin(\pi x)ln2}\frac d {dx} [\sin \pi x] \ln 2$

and I'm stuck... The product rule will automatically lead to to differentiating ln 2.

$\ln 2$ is just a constant. Just leave it there and differentiate the sine. You can simplify that exponential back to its other form in the answer.

 

[Feodalherren]

I'm an idiot... Thanks that solved my problem :).