Derivatives

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DERIVATIVE S

Transcript of Derivatives

Page 1: Derivatives

DERIVATIVES

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DERIVATIVE FORMULAS

Power Ruley= xn, y’= nxn-1

Example Y= 4x2

, Y= 8x Y= 6x , Y= 6

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DERIVATIVE FORMULAS Product Rule

y = f(x)g(x) , y’= f’(x)g(x)+g’(x)f(x)Examplesy=x3cosxU’= 3x2

V’= -sinxY’= 3x2cosx + -sinx(x3)

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DERIVATIVE FORMULAS Quotient rule

y=f(x)/g(x)       , lo dhi –hi dlo/ lo^2 Example

x/sinx Lo= sinx   dlo= cosx Hi= x        dhi= 1 Sinx­xcosx/sin2x

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DERIVATIVE FORMULAS Chain rule

y=(f(x))n        , y’= n(f(x))n­1(f‘(x))


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