derivative rules
Expontial Base e?
d/dx e^x=e^x
Expontial Base b?
d/dx b^x=ln(b)b^x
chain rule & expontial base e
d/dx e^kx=ke^kx
Log Base b
d/dx logb(x)=1/ln(b)x
Log Base e
d/dx ln(x)=d/dx loge(x)=1/x
Chain and log Base e
d/dx ln|x|=1/x
d/dx sin(x)
cos(x)
d/dx cos(x)
-sin(x)
d/dx tan(x)
sec^2(x)
d/dx cot(x)
-csc^2(x)
d/dx sec(x)
sec(x)tan(x)
d/dx csc(x)
-csc(x)cot(x)
Constant rule
d/dx k=0
Powe rule
d/dx x^n=nx^n-1
Sum/difference rule
d/dx f(x)-g(x)=f'(x)-+g'(x)
d/dx f(x)-g(x)=f'(x)+-g'(x)
f'(x)-+g'(x)
f'(x)+-g'(x)
Constant Multiple rule
d/dx Kf(x)=k d/dx f(x)
Product rule
d/dx (f(x)g(x))=f'(x)g(x)+f(x)g'(x)
Quotient rule
Hi de, lo, Hi, lo de, lo lo
Chain rule
f'(g(x))g'(x)
General Power rule
d/dx (y(x))^n=n(y(x))^n-1y'(x)=n(y(x)^n-1 dy/dx