Example

3(r+2s)=2t-4
a⋅(b-2)=3b
3(r+2s)=2t-4
a⋅(b-2)=3b

Question

$$\frac{x+\tan(x)}{1+csc(x)}\frac{d}{dx}$$

Answer

$$x+tan(x)+d^2*x*csc(x)$$

Solution


Simplify  \(\tan{x}\times 1\)  to  \(\tan{x}\).
\[x+\tan{x}+(\csc{x})ddx\]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[x+\tan{x}+\csc{x}{d}^{2}x\]
Regroup terms.
\[x+\tan{x}+{d}^{2}x\csc{x}\]
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