All Calculus Derivatives

d/dx c

0

d/dx cf(x)

c*f’(x)

d/dx (f(x)+- g(x))

f’(x) +- g’(x)

d/dx xⁿ

nx^n-1

d/dx sinx

cosx

d/dx cosx

-sinx

d/dx e^x

e^x

d/dx(u/v)

(vdu-udv)/v^2

d/dx(uv)

udv+vdu

d/dx \(\sqrt{x}\)

1/2sqrtx

d/dx(1/x)

-1/x^2

d/dx tanx

sec^2x

d/dx cotx

-csc^2x

d/dx secx

secxtanx

d/dx cscx

-cscxcotx

d/dx f(g(x))

f’(g(x))*g’(x)

d/dx lnx

1/x

d/dx log_ax

1/xlna

d/dx a^x

a^xlna

d/dx arcsinx

1/sqrt1-x^2

d/dx arctanx

1/1+x^2

d/dx arcsecx

1/|x|sqrtx^2-1

d/dx arccosx

-1/sqrt1-x^2

d/dx arccotx

-1/1+x^2

d/dx arccscx

-1/|x|sqrtx^2-1

d/dx |x|

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