AP EAMCET · Maths · Differentiation
If \(z=\log (\tan x+\tan y)\), then \((\sin 2 x) \frac{\partial z}{\partial x}+(\sin 2 y) \frac{\partial z}{\partial y}\) is equal to
- A \(1\)
- B \(2\)
- C \(3\)
- D \(4\)
Answer & Solution
Correct Answer
(B) \(2\)
Step-by-step Solution
Detailed explanation
\(z=\log (\tan x+\tan y)\) On differentiating partially w.r.t. \(x\) and \(y\), we get and…
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
- \(\cos ^3 \frac{\pi}{8} \cos \frac{3 \pi}{8}+\sin ^3 \frac{\pi}{8} \sin \frac{3 \pi}{8}=\)AP EAMCET 2025 Medium
- If \(A\) is a square matrix such that \(A(\operatorname{adj} A)=\left[\begin{array}{lll}4 & 0 & 0 \\ 0 & 4 & 0 \\ 0 & 0 & 4\end{array}\right]\), then \(\operatorname{det}(\operatorname{adj} A)\) is equal toAP EAMCET 2007 Medium
- If the system of equations \(2 x+3 y-3 z=3, x+2 y+\alpha z=1,2 x-y+z=\beta\) has infinitely many solutions, then \(\frac{\alpha}{\beta}-\frac{\beta}{\alpha}=\)AP EAMCET 2025 Medium
- The integrating factor of \(x \frac{d y}{d x}+3 y=x^2\) isAP EAMCET 2020 Easy
- For , the angle between the lines represented by isAP EAMCET 2022 Hard
- If is defined by , thenAP EAMCET 2021 Medium
More PYQs from AP EAMCET
- Match the temperatures of the source and sink ( \(T_1\) and \(T_2\) respectively) of a Carnot heat engine given in List-I with the corresponding efficiencies given in List-II.

The correct match is Codes
\(\begin{array}{llll}
A & B & C & D
\end{array}\)AP EAMCET 2019 Easy - Find the positive value of '' for which the equality holds, where '' and '' are the points of maximum and minimum, respectively, of the functionAP EAMCET 2021 Hard
- If \(x \in R\) and \(1 \leq \frac{3 x^2-7 x+8}{x^2+1} \leq 2\), then the minimum and maximum values of \(x\) are respectively.AP EAMCET 2019 Medium
- If \(f(x)=\frac{\cos x}{\sin ^2 x+\cos ^4 x}\), for \(x \in R\), then \(f(2002)\) is equal toAP EAMCET 2002 Medium
- Observe the following statements.
Statement (A) In general, the ionisation potential value decreases on moving down in the group.
Statement (B) The lst ionisation potential of sodium is greater from that of potassium. Correct answer isAP EAMCET 2022 Easy - The angle between any two diagonals of a cube isAP EAMCET 2021 Medium