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d/dx [sinx]

cosx

d/dx [cosx]

-sinx

d/dx [tanx]

sec²x

d/dx [cotx]

-csc²x

d/dx [secx]

tanxsecx

d/dx [cscx]

-cotxcscx

Constant Rule

d/dx [constant] = 0

Exponent rule

nxⁿ⁻¹

Coefficent Rule

c d/dx [f(x)]

Addition/Subtraction Rule

d/dx [f(x)] ± d/dx [g(x)]

Product Rule

f(x)g'(x) + g(x)f'(x)

Quotient Rule

[g(x)f'(x) - f(x)g'(x)] / [g(x)]²