KCET · Maths · Differentiation
Let \( f(x)=x-\frac{1}{x} \) then \( f^{\prime}(-1) \) is
- A \( 00 \)
- B \( 12 \)
- C \( 11 \)
- D \( -2 \)
Answer & Solution
Correct Answer
(B) \( 12 \)
Step-by-step Solution
Detailed explanation
Given that, \( f(x)=x-\frac{1}{x} \)
So, \( f^{\prime}(x)=1+\frac{1}{x^{2}} \)
\( f^{\prime}(-1)=1+\frac{1}{(-1)^{2}}=1+1=2 \)
So, \( f^{\prime}(x)=1+\frac{1}{x^{2}} \)
\( f^{\prime}(-1)=1+\frac{1}{(-1)^{2}}=1+1=2 \)
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Maths
- The 13 th term in the expansion of \(\left(x^{2}+\frac{2}{x}\right)^{n}\) is independent of \(x\), then the sum of the divisors of \(n\) isKCET 2012 Easy
- If the vertices of a triangle are \((-2,6),(3,-6)\) and \((1,5)\), then the area of the triangle isKCET 2022 Easy
- If \( \vec{a}=2 \hat{i}+\lambda \hat{j}+\hat{k} \) and \( \vec{b}=\hat{i}+2 \hat{j}+3 \hat{k} \) are orthogonal then the value of \( \lambda \) isKCET 2017 Medium
- The real part of \( (1-\cos \theta+i \sin \theta)^{-1} \) isKCET 2016 Medium
- The second order derivative of \(\cos^{-1}(4x^3 - 3x)\) with respect to \(\cos^{-1}(2x^2 - 1)\), where \(\dfrac{1}{2} < x < 1\) isKCET 2026 Medium
- If
\(x-1 \quad\) is
\(x^{5}-4 x^{3}+2 x^{2}-3 x+k=0\), then \(k\) is
\(a\)KCET 2012 Medium
More PYQs from KCET
- A parallel beam of light is incident on a converging lens parallel to its principal axis. As one moves away from the lens on the other side of the principal axis, the intensity of lightKCET 2009 Easy
- In a condensed schematic representation of dark reaction of photosynthesis given below, steps ae indicated by alphabets. Select the option where the alphabets are correctly identified.
KCET 2012 Medium - Which of the following hormones are secreted in large quantities during pregnancy in women?KCET 2014 Easy
- If the three function \(f(x), g(x)\) and \(h(x)\) are such that
\(h(x)=f(x) \cdot g(x)\) and \(f^{\prime}(x) \cdot g^{\prime}(x)=c\)
where \(c\) is constant, then
\(\frac{f^{\prime \prime}(x)}{f(x)}+\frac{g^{\prime \prime}(x)}{g(x)}+\frac{2 c}{f(x) \cdot g(x)}\)
is equal toKCET 2010 Medium - With reference to human sperm, match the List-I with List-II.
Choose the correct option from the following:List I List II 1. Head p. Filled with enzyme 2. Acrosome q. Contains mitochondria 3. Middle piece r. Sperm motility 4. Tail s. Contains haploid nucleus KCET 2024 Easy - Visible expression of the genetic phenomenon of crossing over is calledKCET 2012 Easy