Need to Memorize

d/dx sinx

cosx

d/dx tanx

sec²x

d/dx secx

secxtanx

d/dx cosx

-sinx

d/dx cotx

-csc²x

d/dx cscx

-cscxcotx

d/dx(y=b^x)

dy/dx=b^xln(b)

Linear Approximation Formula

f(x)=f(a)+f’(a)(x-a)

Volume of a Sphere

4/3πr³

Volume of a Cylinder

V=πr²h

Volume of a Cone

V=1/3​πr²h

d/dx arcsinx

1/√(1-x²)

d/dx arccosx

-1/√(1-x²)

d/dx arctanx

1/(x²+1)

d/dx arccotx

-1/(x²+1)

d/dx arcsecx

1/(|x|√(x²+1))

d/dx arccscx

-1/(|x|√(x²-1))

antiderivative x^-1

ln(x)+c

antideriv e^x

e^x+c

antideriv sin(x)

-cosx+c

antideriv cos(x)

sinx+c

antideriv sec²(x)

tanx+c

antideriv sec(x)tan(x)

secx+c

antideriv 1/(1+x²)

tan^-1(x)+c

antideriv 1/√(1-x²)

sin^-1(x)+c