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f(x)=x^x(5x-2)^4(3x^2+5)^4−6−5−4−3−2−10123456−3-2.5−2-1.5−1-0.500.511.522.53xy

Exercise

ddx(xx)(5x−2)4⋅(3x2+5)4\frac{d}{dx}\left(x^x\right)\left(5x-2\right)^4\cdot\left(3x^2+5\right)^4

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Final answer to the exercise

(ln⁡(x)+1)xx(5x−2)4(3x2+5)4+xx(20(5x−2)3(3x2+5)4+24(5x−2)4(3x2+5)3x)\left(\ln\left(x\right)+1\right)x^x\left(5x-2\right)^4\left(3x^2+5\right)^4+x^x\left(20\left(5x-2\right)^{3}\left(3x^2+5\right)^4+24\left(5x-2\right)^4\left(3x^2+5\right)^{3}x\right)

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ddx (xx)(5x−2)4·(3x2+5)4
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