TS EAMCET · Maths · Differentiation
If , then the value of at , is
- A
- B
- C
- D
Answer & Solution
Correct Answer
(D)
Step-by-step Solution
Detailed explanation
Given, fx=logee2x3x+55-3x23 ⇒fx=logee2x+loge3x+55-3x23 ⇒fx=2x+23loge3x+55-3x ⇒fx=2x+23loge3x+5-loge5-3x Now differentiating the function with respect to x we get, dfdx=2+2313x+5×3-15-3x×-3 ⇒dfdx=2+213x+5+15-3x…
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 line \(\mathrm{L} \equiv 6 x+3 y+\mathrm{k}=0\) divides the line segment joining the points \((3,5)\) and \((4,6)\) in the ratio \(-5: 4\). If the point of intersection of the lines \(\mathrm{L}=0\) and \(x-y+1=0\) is \(\mathrm{P}(\mathrm{g}, \mathrm{h})\) then \(\mathrm{h}=\)TS EAMCET 2025 Medium
- The coefficient of \(x^3 y^4 z^5\) in the expansion of \((x y+y z+x z)^6\) isTS EAMCET 2005 Medium
- If the origin of a coordinate system is shifted to \((-\sqrt{2}, \sqrt{2})\) and the coordinate system is rotated anti-clockwise through an angle \(45^{\circ}\), then the point \(P(1,-1)\) in the original system has new coordinatesTS EAMCET 2015 Easy
- The volume of the tetrahedron with \(\hat{i}-\lambda \hat{j}+\hat{k}, \lambda \hat{i}-\hat{j}-\hat{k}\) and \(\hat{i}+\hat{j}+\lambda \hat{k}\) as coterminous edges is 2 . If \(\lambda\) is an integer, then \(|\lambda \hat{\mathrm{i}}-3 \lambda \hat{\mathrm{j}}+3 \hat{\mathrm{k}}|=\)TS EAMCET 2023 Medium
- Let \(f:[0,10] \rightarrow[1,20]\) be a function defined as \(f(x)=\left\{\begin{array}{ll}\frac{60-5 x}{3}, & 0 \leq x \leq 6 \ 10, & 6 \leq x \leq 7 \ 31-3 x, & 7 \leq x \leq 10\end{array}\right.\) then \(f\) isTS EAMCET 2020 Easy
- \(\lim _{x \rightarrow 0} \frac{\sqrt{1+x^2}-\sqrt{1-x+x^2}}{3^x-1}\) is equal toTS EAMCET 2014 Medium
More PYQs from TS EAMCET
- An ideal gas at pressure \(\mathrm{P}\) is enclosed in a container that is placed in a reservoir at temperature \(T\). If the volume of the gas is increased to two times its original value, then the new pressure \(\mathrm{P}^{\prime}=\) \(\mathrm{P}\)TS EAMCET 2022 Medium
- What is \(Z\) in the following reactions?
TS EAMCET 2012 Hard - The basic difference in approach between Mendeleev's periodic law and modern periodic law is the change on the basis of classification of elements fromTS EAMCET 2020 Easy
- For \(n \in Z\), the general solution of the trigonometric equation \(\sin x-\sqrt{3} \cos x\) \(+4 \sin 2 x-4 \sqrt{3} \cos 2 x+\sin 3 x-\sqrt{3} \cos 3 x=0\) is IsTS EAMCET 2019 Medium
- What is the weight (in gram) of \(\mathrm{Na}_2 \mathrm{CO}_3\) (molar mass \(=106)\) present in \(250 \mathrm{~mL}\) of its \(0.2 \mathrm{M}\) solution?TS EAMCET 2015 Medium
- The threshold frequency of a metal is \(10^{15} \mathrm{~s}^{-1}\). The ratio of maximum kinetic energies of the photoelectrons, when the metal is made to strike with radiations of frequencies \(1.5 \times 10^{15} \mathrm{~s}^{-1}\) and \(2.0 \times 10^{15} \mathrm{~s}^{-1}\) respectively isTS EAMCET 2023 Medium