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f(x)=(x^7)/((1-4x^2)sin(x))−6−5−4−3−2−10123456−3-2.5−2-1.5−1-0.500.511.522.53xy

Exercise

ddx(x7(1−4x2)sin(x))\frac{d}{dx}\left(\frac{x^7}{\left(1-4x^2\right)sin\left(x\right)}\right)

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Final answer to the exercise

7x6(1−4x2)sin⁡(x)+x7(8xsin⁡(x)+(−1+4x2)cos⁡(x))(1−4x2)2sin⁡(x)2\frac{7x^{6}\left(1-4x^2\right)\sin\left(x\right)+x^7\left(8x\sin\left(x\right)+\left(-1+4x^2\right)\cos\left(x\right)\right)}{\left(1-4x^2\right)^2\sin\left(x\right)^2}

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ddx (x7(1−4x2)sin(x) )
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