help with one derivative question please!

[hello_kitty]

hey guys,

i have this equation where i have to find the derivative of

e^{sin pi x/4}

i feel like you have to derive the sin pi x/4 seperately but that wouldnt work for the rule to derive a function of e??

any help would be awesome!

[Bhootnike]

hey guys,

i have this equation where i have to find the derivative of

e^{sin pi x/4}

i feel like you have to derive the sin pi x/4 seperately but that wouldnt work for the rule to derive a function of e??

any help would be awesome!

Yes chain rule.
Let




clean that up and there ya go

[FlorianK]

hey guys,

i have this equation where i have to find the derivative of

e^{sin pi x/4}

i feel like you have to derive the sin pi x/4 seperately but that wouldnt work for the rule to derive a function of e??

any help would be awesome!

all those people with their dy/dx

Chainrule
h(x)=f(g(x))=e^{sin pi x/4}
f(x)=e^g(x)
g(x)=sin(pi x/4)

h(x)=g'(x) * f'(g(x))
g'(x)=pi/4 cos(pi x/4)
f'(g(x))=e^g(x)

h(x)=g'(x)                 * f'(g(x))
h(x)=pi/4 cos(pi x/4) * e^{sin (pi x/4)}