$144y^2-9$

$\csc\left(x\right)=\frac{\cot\left(x\right)+\tan\left(x\right)}{\sec\left(x\right)}$

$\frac{55x}{11^2}$

$\lim_{x\to0}\left(\frac{cos\left(x\right)ln\left(1+x\right)}{sin\left(x\right)}\right)$

$-3+6x-7x^2$

$\frac{d}{dx}\left(e^{xy}=y^3-x\right)$

$2\log\:_{10}\left(y\right)+3\log\:_{10}\left(x\right)=\log\:_{10}\left(2x\right)$