Asked by Abigail
Find the derivative of f(x)=e^(sin(1))+(sin(1))^x.
Answers
Answered by
MathMate
f(x)=e^(sin(1))+(sin(1))^x
f'(x)=d(e^(sin(1)))/dx + d((sin(1))^x)/dx
=0 + sin(1)^x*ln(sin(1)
=sin(1)^x*ln(sin(1))
Note:
let y=a^x
ln(y) = xln(a)
y'/y = ln(a)
y'=y*ln(a)=(a^x)ln(a)
f'(x)=d(e^(sin(1)))/dx + d((sin(1))^x)/dx
=0 + sin(1)^x*ln(sin(1)
=sin(1)^x*ln(sin(1))
Note:
let y=a^x
ln(y) = xln(a)
y'/y = ln(a)
y'=y*ln(a)=(a^x)ln(a)
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