AP EAMCET · Maths · Differentiation
If \(f^{\prime}(x)=\sqrt{2 x^2-1}\) and \(y=f\left(x^3\right)\), then find the value of \(\frac{d y}{d x}\) at \(x=1\)
- A -1
- B 3
- C 0
- D -3
Answer & Solution
Correct Answer
(B) 3
Step-by-step Solution
Detailed explanation
\[ \text { } \begin{aligned} f^{\prime}(x) & =\sqrt{2 x^2-1} \\ y & =f\left(x^3\right) \end{aligned} \] Differentiation w.r.t. \(x\)…
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 lines \(3 x^2+8 x y-3 y^2+2 x-4 y-1=0\) and \(4 x-3 y-2=0\)AP EAMCET 2017 Medium
- I. Two non-zero, non-collinear vectors are linearly independent.
II. Any three coplanar vectors are linearly dependent.
Which of the above statements is/are true?AP EAMCET 2005 Easy - If \(a x^4+b x^3+c x^2+50 x+d=\left|\begin{array}{ccc}x^3-14 x^2 & -x & 3 x+\lambda \\ 4 x+1 & 3 x & x-4 \\ -3 & 4 & 0\end{array}\right|\), then find ' \(\lambda\) '.AP EAMCET 2020 Hard
- \(\alpha, \beta\) are the roots of \(x^2-10 x-8=0\) with \(\alpha>\beta\).
If \(\alpha_{\mathrm{n}}=\alpha^{\mathrm{n}}-\beta^{\mathrm{n}}\) for \(\mathrm{n} \in \mathbb{N}\), then the value of \(\frac{a_{10}-8 a_8}{5 a_9}\) isAP EAMCET 2022 Easy - Find the rank of the matrixAP EAMCET 2020 Medium
- In \(\triangle A B C\), with usual notation, observe the two statements given below :
(I) \(r r_1 r_2 r_3=\Delta^2\)
(II) \(r_1 r_2+r_2 r_3+r_3 r_1=s^2\)
Which of the following is correct?AP EAMCET 2007 Medium
More PYQs from AP EAMCET
- An emf \(E=6 \cos 6000\) t volt is applied to an L-R circuit of inductance \(4 \mathrm{mH}\) and resistance \(7 \Omega\). The amplitude of the current in the circuit is ____AP EAMCET 2017 Medium
- \(\cos 13^{\circ} \sin 17^{\circ} \sin 21^{\circ} \cos 47^{\circ}=\)AP EAMCET 2025 Medium
- In \(\triangle A B C\), if \((a+c)^2=b^2+3 c a\), then \(\frac{a+c}{2 R}=\)AP EAMCET 2024 Medium
- If the pair of straight lines \(6 x^2-5 x y+y^2=0\) makes angles \(\alpha\) and \(\beta\) with the \(X\)-axis, then \(\tan (\alpha-\beta)=\)AP EAMCET 2020 Medium
- Match the following
The correct answer isList-I (Molecule) \(\text{List-II (Dipole moment in D)}\) A) \(\mathrm{HCl}\) I) \(1.07\) B) \(\mathrm{NH}_3\) II) \(1.85\) C) \(\mathrm{H}_2\mathrm{O}\) III) \(0.23\) D) \(\mathrm{NF}_3\) IV) \(1.47\) AP EAMCET 2025 Easy - \(\int_0^\pi \frac{x \sin x}{\sin ^2 x+2 \cos ^2 x} d x=\)AP EAMCET 2025 Medium