calc derivatives and chain rule

what is the derivative of sin x

cos x

what is the derivative of cos x

-sin x

what is the derivative of tan x

sec²x

what is the derivative of cot x

-csc²x

what is the derivative of sec x

sec x tan x

what is the derivative of csc x

-csc x cot x

what is the derivative of x^n

nx^n-1

what is the derivative of e^x

e^x

what is the derivative of a^x

ln(a) a^x

what is the derivative of ln x

1/x

what is the derivative of log_bx

1/xlnb

what is the derivative of f(x)/g(x)

f’(x) g(x) - f(x) g’(x)/ g(x)

what is the derivative of f(x) * g(x)

f’(x) g(x) +f(x) g’ (x)

what is the derivative of sin^-1x

1/√1-x²

what is the derivative of cos^-1x

-1/√1-x²

what is the derivative of tan^-1 x

1/1+x²

what is the derivative of cot^-2 x

-1/1+x²

what is the derivative of sec^-1 x

1/ |x| √x²-1

what is the derivative of csc^-1 x

-1/|x| √x²-1

what is the derivative of sin (u)

cos (u) du/dx

what is the derivative of cos (u)

-sin (u) du/dx

what is the derivative of tan (u)

sec²(u) du/dx

what is the derivative of cot (u)

-csc²(u) du/dx

what is the derivative of sec (u)

sec(u) tan (u) du/dx

what is the derivative of csc(u)

-csc (u) cot (u) du/dx

what is the derivative of (u)^n

nu^n-1

what is the derivative of e^u

e^u * u’

what is the derivative of a^u

a^u lna * u’

what is the derivative of ln(u)

1/u

what is the derivative of log_b(u)

1/ulnb