Special Derivatives
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29 Terms
f(x) = sin(x)
f’(x) = cos(x)
f(x) = cos(x)
f’(x) = -sin(x)
f(x) = tan(x)
f’(x) = sec²(x)
f(x) = cot(x)
f’(x) = -csc²(x)
f(x) = sec(x)
f’(x) = sec(x)tan(x)
f(x) = csc(x)
f’(x) = -csc(x)cot(x)
f(x) = ln(x)
f’(x) = 1/x
f(x) = log_a(x)
f’(x) = 1/x[ln(a)]
f(x) = ln|x|
f’(x) = 1/x
f(x) = a^x
f’(x) = (a^x)[ln(a)]
f(x) = e^x
f’(x) = e^x
f(x) = sinh(x)
f’(x) = cosh(x)
f(x) = cosh(x)
f’(x) = sinh(x)
f(x) = tanh(x)
f’(x) = sech²(x)
f(x) = coth(x)
f’(x) = -csch²(x)
f(x) = sech(x)
f’(x) = -sech(x)tanh(x)
f(x) = csch(x)
f’(x) = -csch(x)coth(x)
f(x) = sin^-1(x)
f’(x) = 1/√(1-x²)
f(x) = cos^-1(x)
f’(x) = - 1/√(1-x²)
f(x) = tan^-1(x)
f’(x) = 1/(1+x²)
f(x) = cot^-1(x)
f’(x) = -1/(1+x²)
f(x) = sec^-1(x)
f’(x) = 1/x√(x²-1)
f(x)csc^-1(x)
f’(x) = -1/x√(x²-1)
f(x) = sinh^-1(x)
f’(x) = 1/√(x²+1)
f(x) = cosh^-1(x)
f’(x) = 1/√(x²-1)
f(x) = tanh^-1(x)
f’(x) = 1/1-x² , domain: [-1,1]
f(x) = coth^-1(x)
f’(x) = 1/1-x²
f(x) = sech^-1(x)
f’(x) = -1/x√(1-x²)
f(x) = csch^-1(x)
f’(x) = -1/|x|√(x²+1)