Finding Derivatives: 2.4 Derivatives of Trig functions; Exponentials, Ln, and Inverse Trig

derivative of the natural exponential function is itself

If f(x)=e^x, then f'(x)=e^x

d/dx for bases other than e:

if f(a)=a^x, then f'(x)=a^x*ln(a)

d/dx sin(x)

cos(x)

d/dx cos(x)

-sin(x)

d/dx tan(x)

sec^2(x)

d/dx sec(x)

sec(x)tan(x)

d/dx cot(x)

-csc^2(x)

d/dx csc(x)

-csc(x)cot(x)

d/dx ln(x)

1/x

d/dx log base(a) of x

1/x*ln(a)