differentiation formulas
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In all the formulas below, f’ means d(f(x))dx=f′(x) and g’ means d(g(x))dx = g′(x) . Both f and g are the functions of x and differentiated with respect to x. We can also represent dy/dx = Dx y. Some of the general differentiation formulas are;
Power Rule: (d/dx) (xn ) = nxn-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) = gf′–fg′g2
Step-by-step explanation:
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