JEE Math Practice Question
If $$2 x^{y}+3 y^{x}=20$$, then $$\frac{d y}{d x}$$ at $$(2,2)$$ is equal to :
- A.$$-\left(\frac{3+\log _{e} 16}{4+\log _{e} 8}\right)$$
- B.$$-\left(\frac{2+\log _{e} 8}{3+\log _{e} 4}\right)$$
- C.$$-\left(\frac{3+\log _{e} 8}{2+\log _{e} 4}\right)$$
- D.$$-\left(\frac{3+\log _{e} 4}{2+\log _{e} 8}\right)$$
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