CUET Preparation Today
CUET
-- Mathematics - Section B1
Applications of Derivatives
If $x=asin^2\theta , y = a cos^2 \theta $ then $\frac{dy}{dx}= $
-1
3
2
4
The correct answer is Option (1) → -1
$x=a\sin^2θ$, $y=a\cos^2θ$
$\frac{dy}{dθ}=-2a\cos θ\sin θ$
$\frac{dx}{dθ}=2a\cos θ\sin θ$
$\frac{dy}{dx}=-1$