Differentiation Formula
- (d/dx) (a) = 0
- (d/dx) (xn ) = nxn-1
- (d/dx) (a. f) = af’
- (d/dx) (f ± g) = f’ ± g’
- (d/dx) (fg)= fg’ + gf’
- (d/dx) (f/g)= (gf’-fg’)/g²
- (d/dx) (lnx)=1/x
- (d/dx) (logax)=1/xlna
- (d/dx) (lnf(x))=(1/f(x))(d/dx)f(x)
- (d/dx) e^x=e^x
- (d/dx) (sin x) = cos x
- (d/dx) (cos x) = - sin x
- (d/dx) (tan x) = sec²x
- (d/dx) (cot x) = - cosec²x
- (d/dx) (sec x) = secx tanx
- (d/dx) (cosec x) = -cosecx cotx
- (d/dx) (sinh x) = coshx
- (d/dx) (cosh x) = sinhx
- (d/dx) (tanh x) = sech²x
- (d/dx) (coth x) = - cosec²x
- (d/dx) (sech x) = sec²x tanhx
- (d/dx) (cosech x) = - cosecx cotx
Hyperbolic Equation
- (d/dx) (Sinhx)=Coshx
- (d/dx) (Coshx)=Sinhx
- (d/dx) (Tanhx)=Sech2x
- (d/dx) (Cothx)=−Cosech2x
- (d/dx) (Sechx)=−Sechx⋅Tanhx
- (d/dx) (Cesechx)=−Cosechx⋅Cothx
