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Differentiation — JEE Main PYQs

59 previous year questions on Differentiation (Mathematics), newest first. Open any question for its complete step-by-step solution.

If $x = 3 tan t$ and $y = 3 sec t$ , then the value of $\frac{d ^{2} y}{d x ^{2}}$ at $t = \frac{π}{4}$ , is:
JEE Main 2019View solution →
The normal to the curve $y (x - 2) (x - 3) = x + 6$ at the point where the curve intersects the $y$ -axis passes through the point:
JEE Main 2017View solution →
If for $x \in (0, \frac{1}{4})$ , the derivative of $tan^{- 1} (\frac{6 x x}{1 - 9 x ^{3}})$ is $x \cdot g (x)$ , then $g (x)$ equals :
JEE Main 2017View solution →
If $y = sec (tan^{- 1} x)$ , then $\frac{d y}{d x}$ at $x = 1$ is equal to
JEE Main 2013View solution →
$\frac{d ^{2} x}{d y ^{2}}$ equals
JEE Main 2011View solution →
Let $f : (- 1, 1) \to R$ be a differentiable function with $f (0) = - 1$ and $f^{'} (0) = 1$ . Let $g (x) = [f (2 f (x) + 2)]^{2}$ . Then $g^{'} (0) =$
JEE Main 2010View solution →
Let $y$ be an implicit function of $x$ defined by $x^{2 x} - 2 x^{x} cot y - 1 = 0$ . Then $y^{'} (1)$ equals
JEE Main 2009View solution →
If $x^{m} \cdot y^{n} = (x + y)^{m + n}$ , then $\frac{d y}{d x}$ is
JEE Main 2006View solution →
If $x = e^{y + e^{y + \dots to \infty}}, x > 0$ , then $\frac{dy}{dx}$ is
JEE Main 2004View solution →