Calculus

Derivatives

100

Derive 4x³+18x²-689x+14

12x²+36x-689+C

200

Derive (-2x²+1)^0.5

-(2x)/(-2x²+1)^0.5

300

Derive tan²5x

10tan5xsec²5x

400

Derive log₃x

1/(xln3)

500

Derive log₅(x²-1)^0.5

(1/((x²-1)^0.5)ln5)*(1/2)*((x²-1)^-0.5)*(2x)