Calculus Final Review Logarithmic and Exponential Differentiation Flashcards
1
Q
y=e^x
A
y’=e^x
2
Q
y=e^sinx
A
y’=(e^sinx)(cosx)
3
Q
y=3^x
A
y’=(3^x)(ln3)
4
Q
y=(5^3x^2)
A
y’=(6x)(5^3x^2)(ln5)
5
Q
y=lnx
A
y’=1/x
6
Q
y=ln(cosx)
A
y’=(1/cosx)(-sinx)=-tanx
7
Q
y=log_2(x)
A
y’=1/(xln2)
=1/(xlnb)
8
Q
y=log_3(x^3_2x)
A
y’=(3x^2-2)/(ln3(x^3-2x))
