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x^(4)*y*x^(5)*y

Multiply x^(4) by y to get x^(4)y.
(d)/(dx) x^(4)*y*x^(5)*y=x^(4)y*x^(5)*y

Multiply x^(4)y by x^(5) to get x^(9)y.
(d)/(dx) x^(4)*y*x^(5)*y=x^(9)y*y

Multiply x^(9)y by y to get x^(9)y^(2).
(d)/(dx) x^(4)*y*x^(5)*y=x^(9)y^(2)

To find the derivative of x^(9)y^(2), multiply the base (x) by the exponent (9), then subtract 1 from the exponent.
(d)/(dx) x^(4)*y*x^(5)*y=9x^(8)y^(2)

The derivative of x^(4)*y*x^(5)*y is 9x^(8)y^(2).
9x^(8)y^(2)

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Q: X the power of 4 times y times x to the power of 5 times y?
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