TS EAMCET · Maths · Differentiation
If then
- A
- B
- C
- D
Answer & Solution
Correct Answer
(A)
Step-by-step Solution
Detailed explanation
y=cos-1(tanhx)+sinh(sin6x), ⇒dydx=-11-tan2hxddxtanhx+coshsin6x.ddxsin6x ⇒dydx=-11-tan2hxsec2hx+coshsin6x.cos6x.6 ⇒dydx=-1sechxsec2hx+coshsin6x.cos6x.6 ∴dydx=-1coshx+coshsin6x.cos6x.6 =-1coshx+6cos6xcoshsin6x Hence, option 1 is correct.
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
- A non-zero vector a is parallel to the line of intersection of the plane determined by the vectors \(\hat{\mathbf{i}}, \hat{\mathbf{i}}+\hat{\mathbf{j}}\) and the plane determined by vectors \(\hat{\mathbf{i}}-\hat{\mathbf{j}}, \hat{\mathbf{i}}+\hat{\mathbf{k}}\). The angle between a and \((\hat{\mathbf{i}}-2 \hat{\mathbf{j}}+2 \hat{\mathbf{k}})\) isTS EAMCET 2018 Hard
- The degree of the differential equation \(\left(\frac{d^2 y}{d x^2}\right)^{\frac{4}{3}}+x\left(\frac{d y}{d x}\right)^2-y \cos \left(\frac{d y}{d x}\right)=0\) isTS EAMCET 2022 Hard
- If \(a, b, c, \neq 0\) and belong to the set to \(\{0,1,2\), \(3 \ldots \ldots, 9\}\), then \(\log _{10}\left(\frac{a+10 b+10^2 c}{10^{-4} a+10^{-3} b+10^{-2} c}\right)\) is equal toTS EAMCET 2005 Hard
- 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
- If the angle between the circles \(x^2+y^2-2 x+\mathrm{k} y+1=0\) and \(x^2+y^2-\mathrm{k} x-2 y+1=0\) is \(\operatorname{Cos}^{-1}\left(\frac{1}{4}\right)\) and \(\mathrm{k} < 0\) then the point which lies on the radical axis of the given circles isTS EAMCET 2025 Medium
- The solution of the differential equation \(x y^2 d y-\left(x^3+y^3\right) d x=0\) isTS EAMCET 2008 Medium
More PYQs from TS EAMCET
- If \(\mathrm{P}\) is a non-singular matrix such that \(\mathrm{I}+\mathrm{P}+\mathrm{P}^2 \ldots+\mathrm{P}^{\mathrm{n}}=\) \(0(0\) denotes the null matrix \()\), then \(\mathrm{P}^{-1}=\)TS EAMCET 2023 Hard
- If , and , thenTS EAMCET 2022 Medium
- If \(R\) is the set of all real numbers and \(f: R-\{2\} \rightarrow R\) is defined by \(f(x)=\frac{2+x}{2-x}\) for \(x \in R-\{2\}\)TS EAMCET 2014 Medium
- At an election a voter may vote for any number of candidates not exceeding the number to be elected. If 4 candidates are to be elected out of the 12 contested in the election and voter votes for at least one candidate, then the number of ways in which a voter can vote isTS EAMCET 2020 Easy
- Two soap bubbles combine to form a single bubble. In this process, the change in volume and surface area are respectively \(V\) and \(A\). If \(P\) is the atmospheric pressure, and \(T\) is the surface tension of the soap solution, the following relation is true :TS EAMCET 2006 Hard
- The point dividing the join of \((3,-2,1)\) and \((-2,3,11)\) in the ratio \(2: 3\) isTS EAMCET 2010 Easy