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JEE • MATHEMATICS • DIFFERENTIATION

Differentiation practice · Mixed difficulty

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Practice format and chapter quiz

These sets use single-correct-answer MCQs. They do not cover every JEE Main or JEE Advanced question format and are not full-length mock papers.

Showing 931-932 of 932 questions

931 Easy

931 of 932

Analyzing +4 | -1

Let

u(x)

and

v(x)

be differentiable functions such that

\frac{u(x)}{v(x)}=7

. If

\frac{u^{\prime}(x)}{v^{\prime}(x)}=p

and

\left(\frac{u(x)}{v(x)}\right)^{\prime}=q

, then

\frac{p+q}{p-q}

has the value equal to

View answer and explanation

Correct option: A

Option A (1) is correct because given the conditions, the value of

\frac{p+q}{p-q}

simplifies to 1.

932 Easy

932 of 932

Application +4 | -1

5 f(x)+3 f\left(\frac{1}{x}\right)=x+2

and

y=x f(x)

, then

\frac{d y}{d x}

x=1

is equal to

View answer and explanation

Correct option: B

\frac{7}{8}

Option B is correct because it correctly solves the system of equations to find f(x) and then calculates the derivative and evaluates it at x=1.

Revision notes and key takeaways

Review DIFFERENTIATION in your textbook or class notes, then use this set to check your understanding.

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