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Math 2B Derivatives and Antiderivatives

Math 2B Derivatives and Antiderivatives -...

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Derivatives/Anti-derivatives (from Chapter 7) f 1 ( ) a ( ) = 1 f f 1 a ( ) ( ) d dx ln x = 1 x d dx ln g x ( ) = 1 g x ( ) g x ( ) = g x ( ) g x ( ) d dx e x = e x d dx e g x ( ) = e g x ( ) g x ( ) d dx a x = a x ln a d dx a g x ( ) = a g x ( ) ln a g x ( ) d dx log a x = 1 x ln a d dx log a g x ( ) = 1 g x ( ) ln a g x ( ) = g x ( ) g x ( ) ln a d dx sin 1 x = 1 1 x 2 d dx sin 1 g x ( ) = 1 1 g x ( ) [ ] 2 g x ( ) d dx cos 1 x = 1 1 x 2 d dx cos 1 g x ( ) = 1 1 g x ( ) [ ] 2 g x ( ) d dx tan 1 x = 1 1 + x 2 d dx tan 1 g x ( ) = 1 1 + g x ( ) [ ] 2 g x ( ) d dx cot 1 x = 1 1 + x 2 d dx cot 1 g x ( ) = 1 1 + g x ( ) [ ] 2 g x ( ) d dx sec 1 x = 1 x x 2 1 d dx sec 1 g x ( ) = 1 g x ( ) g x ( ) [ ] 2 1 g x ( ) d dx csc 1 x = 1 x x 2 1 d dx csc 1 g x ( ) = 1 g x ( ) g x ( ) [ ] 2 1 g x ( ) 1 x dx = ln x + c 1 1 x 2 dx = sin 1 x + c tan xdx = lnsec x + c 1 1 + x 2 dx
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