differentiation formulas
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- Power Rule: (d/dx) (xn ) = nx. n-1
- Derivative of a constant, a: (d/dx) (a) = 0.
- Derivative of a constant multiplied with function f: (d/dx) (a. f) = af
- Sum Rule: (d/dx) (f ± g) = f ± g
- Product Rule: (d/dx) (fg)= fg + gf
- Quotient Rule:ddx(fg) d d x ( f g ) = gf′–fg′g2.
General rule for differentiation: ddx[xn]=nxn−1, where n∈R and n≠0. The derivative of a constant is equal to zero. The derivative of a constant multiplied by a function is equal to the constant multiplied by the derivative of the function.
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