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Solving: ddx(y=(x4+1)cos⁡(x))\frac{d}{dx}\left(y=\left(x^4+1\right)^{\cos\left(x\right)}\right)
Solve instead: dydx(y = (x4 + 1)cosx)\frac{dy}{dx}\left(y\:=\:\left(x^4\:+\:1\right)^{cosx}\right)
y=(x^4+1)^cos(x)−6−5−4−3−2−10123456−3-2.5−2-1.5−1-0.500.511.522.53xy

Exercise

dydx(y = (x4 + 1)cosx)\frac{dy}{dx}\left(y\:=\:\left(x^4\:+\:1\right)^{cosx}\right)

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Final answer to the exercise

y′=(−sin⁡(x)ln⁡(x4+1)+4x3cos⁡(x)x4+1)(x4+1)cos⁡(x)y^{\prime}=\left(-\sin\left(x\right)\ln\left(x^4+1\right)+\frac{4x^{3}\cos\left(x\right)}{x^4+1}\right)\left(x^4+1\right)^{\cos\left(x\right)}

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dydx (y = (x4 + 1)cosx)
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