Practicing Success
Practicing Success
CUET Preparation Today
$y=2^{-\log _2\left(x^3-5\right)}$, then $\frac{d y}{d x}$ is |
$\frac{-3 x^2}{\left(x^3-5\right)^2}$ $\frac{x^2}{\left(x^3-5\right)^2}$ $\frac{3 x^2}{\left(x^3-5\right)^2}$ none of these |
$\frac{-3 x^2}{\left(x^3-5\right)^2}$ |
$y=2^{\log _2\left(1 /\left(x^3-5\right)\right)}=\frac{1}{x^3-5}=\left(x^3-5\right)^{-1}$ $\frac{d y}{d x}=-1\left(x^3-5\right)^{-2} \times 3 x^2=\frac{-3 x^2}{\left(x^3-5\right)^2}$ Hence (1) is correct answer. |
