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 \PiX] 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 :).