Transcription of Differentiation Formulas Integration Formulas
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Differentiation Formulas Integration Formulas Z. d k=0 (1) dx = x + C (1). dx d [f (x) g(x)] = f 0 (x) g 0 (x) xn+1. Z. (2). dx xn dx = +C (2). n+1. d [k f (x)] = k f 0 (x) (3) Z. dx dx = ln |x| + C (3). d x [f (x)g(x)] = f (x)g 0 (x) + g(x)f 0 (x) (4). dx Z.. d f (x).. g(x)f 0 (x) f (x)g 0 (x) ex dx = ex + C (4). = 2 (5). dx g(x) [g(x)] Z. 1 x d ax dx = a +C (5). f (g(x)) = f 0 (g(x)) g 0 (x) (6) ln a dx Z. d n ln x dx = x ln x x + C (6). x = nxn 1 (7). dx d Z. sin x = cos x (8) sin x dx = cos x + C (7). dx d Z. cos x = sin x (9). dx cos x dx = sin x + C (8). d tan x = sec2 x (10) Z. dx tan x dx = ln | cos x| + C (9). d cot x = csc2 x (11). dx Z. d cot x dx = ln | sin x| + C (10). sec x = sec x tan x (12).
Differentiation Formulas d dx k = 0 (1) d dx [f(x)±g(x)] = f0(x)±g0(x) (2) d dx [k ·f(x)] = k ·f0(x) (3) d dx [f(x)g(x)] = f(x)g0(x)+g(x)f0(x) (4) d dx f(x) g(x ...
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