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Numerade Educator



Problem 47 Medium Difficulty

Find the first and second derivatives of the function. Check to see that your answers are reasonable by comparing the graphs of $ f, f', $ and $ f". $
$ f(x) = 2x - 5x^{3/4} $


$$f^{\prime \prime}(x)=\frac{15}{16} x^{-5 / 4}$$

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Video Transcript

Hey, it's clear. So when you read here so we have a of X is equal to two X minus five X to the 34 it's then we have our derivative just equal to two minus 15 over four x to the negative 1/4. And to find the second derivative, we just have to differentiate our first to get 15 over 16 x to the negative five boards. We're going to graph our original derivative and second derivative. It's our original Looks like this and our second derivative well look like this. And then our last graph for our stuck in derivative looks like this.