Find the derivative of the function of&nbsp;y=8x6-13x2when&nbsp;x=-2&nbsp;

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Find the derivative of the function of&amp;nbsp;y=8x6-13x2when&amp;nbsp;x=-2&amp;nbsp;

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To find the derivative of the function y=8x6−13x2, we can apply the power rule of differentiation. The power rule states that if we have a term of the form axn, the derivative with respect to x is given by d/dx(axn)=anxn−1.Let&#039;s differentiate the given function with respect to x:dydx=ddx(8x6−13x2)Applying the power rule to each term, we get:dydx=6·8x6−1−2·13x2−1Simplifying:dydx=48x5−26xNow, to find the derivative when x=−2, we substitute x=−2 into the derivative expression:dydx|x=−2=48(−2)5−26(−2)Evaluating the expression:dydx|x=−2=48(−32)−(−52)dydx|x=−2=−1536+52dydx|x=−2=−1484Therefore, the derivative of the function y=8x6−13x2 when x=−2 is −1484.

Find the derivative of the function of y=8x6-13x2when x=-2

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