Transcription of Differentiation Formulas Integration Formulas
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Differentiation Formulas Integration Formulas
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). dx Z. d sec x dx = ln | sec x + tan x| + C (11). csc x = csc x cot x (13). dx d x Z. e = ex (14) csc x dx = ln | csc x + cot x| + C (12). dx d x a = ax ln a Z. (15). dx sec2 x dx = tan x + C (13). d 1. ln |x| = (16) Z. dx x csc2 x dx = cot x + C (14).
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) = g(x)f0(x)−f(x)g0(x) [g(x)]2 (5) d dx f(g(x)) = f0(g(x))·g0(x) (6) d dx xn = nxn−1 (7) d dx sinx = cosx (8) d dx cosx = −sinx (9) d dx tanx = sec2 x (10) d dx cotx = −csc2 x (11) d dx secx = secxtanx (12) d dx cscx = −cscxcotx (13) d dx ex = ex ...
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