Mathematics · JEE

Derivatives of order upto two Short Tricks for JEE

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Short tricks for Derivatives of order upto two work only with strong fundamentals. Apply the tips below in timed sets and review every explanation.

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Derivatives of order upto two focus drill
Solve 15 mixed MCQs for Derivatives of order upto two, review every explanation, and note formulas you hesitated on.
Calculus substitution scan
Spot standard forms (sin²x, 1/(a²+x²), e^ax) before integrating — JEE rewards pattern recognition.
Graph sketch shortcut
For coordinate geometry, mark intercepts and asymptotes first; many MCQs need only qualitative graph features.

Part of Limit, Continuity and Differentiability in JEE Main Mathematics.

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Q1MathsUnit 7: Limit, Continuity and Differentiability

Assertion(A): Let

\boldsymbol{f}(\boldsymbol{x})

be twice differentiable function such that

\boldsymbol{f}^{\prime \prime}(\boldsymbol{x})=-\boldsymbol{f}(\boldsymbol{x})

and

\boldsymbol{f}^{\prime}(\boldsymbol{x})=\boldsymbol{g}(\boldsymbol{x}) .

\boldsymbol{h}(\boldsymbol{x})=[\boldsymbol{f}(\boldsymbol{x})]^{2}+[\boldsymbol{g}(\boldsymbol{x})]^{2}

and

\boldsymbol{h}(\mathbf{1})=\mathbf{8}

\operatorname{then} h(2)=8

Reason (R): Derivative of a constant function is zero.

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