My Math Forum chain rule

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 December 14th, 2008, 03:01 PM #1 Newbie   Joined: Nov 2008 Posts: 16 Thanks: 0 chain rule ok so im trying to find the derivative of ((x^2) + 10)^(3/4) i was told to use the power rule then the chain rule, so" 3/4((x^2)+10)^(-1/4) d/dx ((x^2)+10) but how do i figure out d/dx ((x^2)+10) ?
 December 14th, 2008, 03:12 PM #2 Guest   Joined: Posts: n/a Thanks: Re: chain rule No product rule needed. The chain rule is basically just the derivative of the inside times the derivative of the outside. $(x^{2}+10)^{\frac{3}{4}}$ Derivative of inside, $x^{2}+10$, is $2x$ Derivative of outside is $\frac{3}{4}(x^{2}+10)^{\frac{-1}{4}}$ Now, multiply them: $2x\cdot \frac{3}{4}(x^{2}+10)^{\frac{-1}{4}}=\frac{3x}{2(x^{2}+10)^{\frac{1}{4}}$
 December 14th, 2008, 11:00 PM #3 Newbie   Joined: Nov 2008 Posts: 16 Thanks: 0 Re: chain rule thanks !!

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