AP EAMCET · Maths · Differentiation
If \(f(x)=3 e^{x^2}\) then \(f^{\prime}(x)-2 x f(x)+\frac{1}{3} f(0)-f^{\prime}(0)=\)
- A 0
- B 1
- C \(\frac{7}{3} e^{x^2}\)
- D \(12 x e^{x^2}+1\)
Answer & Solution
Correct Answer
(B) 1
Step-by-step Solution
Detailed explanation
No solution. Refer to answer key.
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
- Integrating factor of \(\left(x+2 y^3\right) \frac{d y}{d x}=y^2\) isAP EAMCET 2004 Hard
- If , where is a complex number, then locus of is a straight lineAP EAMCET 2021 Easy
- If \(f(x)=|x|+|\sin x|\) for \(x \in\left(-\frac{\pi}{2}, \frac{\pi}{2}\right)\), then its left hand derivative at \(x=0\) isAP EAMCET 2011 Easy
- If the normal drawn at a point \(P\) on the curve \(3 y=6 x-5 x^3\) passes through \((0,0)\), then the positive integral value of the abscissa of the point \(P\) isAP EAMCET 2022 Medium
- \(\int \sin ^{-1} \sqrt{\frac{x}{a+x}} d x=\)AP EAMCET 2024 Medium
- The product of the perpendicular distances drawn from the points \((3,0)\) and \((-3,0)\) to the tangent of the ellipse \(\frac{x^2}{36}+\frac{y^2}{27}=1\) at \(\left(3, \frac{9}{2}\right)\) isAP EAMCET 2018 Easy
More PYQs from AP EAMCET
- The number of half lives elapsed before \(93.75 \%\) of a radioactive sample has decayed isAP EAMCET 2018 Easy
- Suppose the axes are to be rotated through an angle \(\theta\) so as to remove the \(x y\) form from the equation \(3 x^2+2 \sqrt{3} x y\) \(+y^2=0\). Then in the new coordinate system the equation \(x^2+y^2+2 x y=2\) is transformed toAP EAMCET 2024 Hard
- The potential energy of a simple harmonic oscillator of mass \(2 \mathrm{~kg}\) at its mean position is \(5 \mathrm{~J}\). If its total energy is \(9 \mathrm{~J}\) and amplitude is \(1 \mathrm{~cm}\), then its time period isAP EAMCET 2018 Easy
- In a system, a particle \(A\) of mass \(m\) and charge \(-2 q\) is moving in the nearest orbit around a very heavy particle \(B\) having charge \(+q\). Assuming Bohr's model of the atom to be applicable to this system, the orbital angular velocity of the particle \(A\) isAP EAMCET 2019 Medium
- Among the following species, correct set of isostructural pairs are
\(\mathrm{XeO}_3, \mathrm{CO}_3^{2-}, \mathrm{SO}_3, \mathrm{H}_3 \mathrm{O}^{+}, \mathrm{ClF}_3\)AP EAMCET 2024 Medium - The decreasing order of bond dissociation energies of \(\mathrm{C}-\mathrm{C}, \mathrm{C}-\mathrm{H}\) and \(\mathrm{H}-\mathrm{H}\) bonds isAP EAMCET 2007 Easy