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Rulesfor Derivatives
equation | derivative |
---|---|
y=f(g(x)) | f(g(x))'=f'(g(x)*g'(x) |
y=f(t),x=f(t) | y'=(dy/dt)/(dx/dt) |
y=sin^-1(x) | y'=1/(1-x^2)^(1/2) |
y=cos^-1(x) | y'=-1/(1-x^2)^(1/2) |
y=tan^-1(x) | y'=1/1+x^2 |
y=cot^-1(x) | y'=-1/1+x^2 |
y=sec^-1(x) | y'=1/|x|(x^2-1)^(1/2) |
y=csc^-1(x) | y'=-1/|x|(x^2-1)^(1/2) |
y=e^x | y'=e^x*(dy/dx) |
y=a^x | y'=a^x*ln(a)*(dy/dx) |
y=ln(x) | y'=(1/x)*(dy/dx) |
y=logsuba(x) | y'=1/(x*ln(a)*(dy/dx) |