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## Methods of Differentiation: ### 1 - d/dx Sec x = Secx. Tanx ### 2 - d/dx Cot x = -Cosec²x ### 3 - d/dx Tan x = Sec²x ### 4 - d/dx Cosec x = -Cosecx.Cotx ### 5 - d/dx (lnx) = 1/x ### 6 - d/dx e^x = e^x ### 7 - d/dx a^x = a^x.lnx ### 8 - d/dx (Cot^-1x) = - 1/ 1 + x^2 ### 9 - d/dx (Sec^-1x) = 1 / |...

## Methods of Differentiation: ### 1 - d/dx Sec x = Secx. Tanx ### 2 - d/dx Cot x = -Cosec²x ### 3 - d/dx Tan x = Sec²x ### 4 - d/dx Cosec x = -Cosecx.Cotx ### 5 - d/dx (lnx) = 1/x ### 6 - d/dx e^x = e^x ### 7 - d/dx a^x = a^x.lnx ### 8 - d/dx (Cot^-1x) = - 1/ 1 + x^2 ### 9 - d/dx (Sec^-1x) = 1 / |x|√x² -1 ### 10 - d/dx (Cosec^-1x) = -1 / |x|√x² - 1 #### Properties: ### 1 - d/dx [f(x) + g(x)] = d/dx f(x) + d/dx g(x) ### 2 - d/dx [kf(x)] = k d/dx f(x) ### 3 - Product rule: d/dx (uv) = u. d/dx v + v. d/dx u ### 4 - Quotient rule: d/dx (u/v) = (v. d/dx u - u. d/dx v)/ v^2 ### 5 - Chain rule: d/dx [f(g(x))] = f’ (g(x)). d/dx (g(x))