# Classic Calculus!

Calculus Level 4

If, $\large p^{2}=a^{2}cos^{2}\theta+b^{2}sin^{2}\theta$ then the value of $\large p+\frac{d^{2}p}{d\theta^{2}}$ can be represented as - $\large \frac{a^{x}b^{y}}{p^{z}}$ Where $$\large x,y,z$$ are positive integers and need not to be distinct.

Then find the value of $$\large x+y+z$$.

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