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f(x)=-9x^2sin(x)sin(x^2)+10xcos(x)cos(x^2)−6−5−4−3−2−10123456−3-2.5−2-1.5−1-0.500.511.522.53xy

Exercise

−9x2sin⁡(x)sin⁡(x2)+10xcos⁡(x)cos⁡(x2)-9x^2\sin\left(x\right)\sin\left(x^2\right)+10x\cos\left(x\right)\cos\left(x^2\right)

Step-by-step Solution

1

Factor the polynomial −9x2sin⁡(x)sin⁡(x2)+10xcos⁡(x)cos⁡(x2)-9x^2\sin\left(x\right)\sin\left(x^2\right)+10x\cos\left(x\right)\cos\left(x^2\right) by it's greatest common factor (GCF): xx

x(−9xsin⁡(x)sin⁡(x2)+10cos⁡(x)cos⁡(x2))x\left(-9x\sin\left(x\right)\sin\left(x^2\right)+10\cos\left(x\right)\cos\left(x^2\right)\right)

Final answer to the exercise

x(−9xsin⁡(x)sin⁡(x2)+10cos⁡(x)cos⁡(x2))x\left(-9x\sin\left(x\right)\sin\left(x^2\right)+10\cos\left(x\right)\cos\left(x^2\right)\right)

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