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Solving: ddx(1216x12+24x6+9x6)\frac{d}{dx}\left(\frac{12\sqrt{16x^{12}+24x^6+9}}{x^6}\right)
Solve instead: dydx(1216x12+24x6+9x6)\frac{dy}{dx}\left(\frac{12\sqrt{16x^{12}+24x^6+9}}{x^6}\right)
f(x)=(12(16x^12+24x^6+9)^(1/2))/(x^6)−6−5−4−3−2−10123456−3-2.5−2-1.5−1-0.500.511.522.53xy

Exercise

dydx(1216x12+24x6+9x6)\frac{dy}{dx}\left(\frac{12\sqrt{16x^{12}+24x^6+9}}{x^6}\right)

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Final answer to the exercise

(96x11+72x5(4x6+3)2+−6x)1216x12+24x6+9x6\left(\frac{96x^{11}+72x^{5}}{\left(4x^{6}+3\right)^{2}}+\frac{-6}{x}\right)\frac{12\sqrt{16x^{12}+24x^6+9}}{x^6}

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y=x2+6x+9y=x^2+6x+9
dydx (12√16x12+24x6+9x6 )
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