Download App

Differentiation — Maths STD 12 Science — Question

Maharashtra BoardEnglish MediumSTD 12 ScienceMathsDifferentiation3 Marks
Question
Write the derivative of $\sin\text{x}$ with respect to $\cos\text{x}$.
✓

Answer

Let $\text{u}=\sin\text{x}\text{ and v}=\cos\text{x}$
$\Rightarrow\frac{\text{du}}{\text{dx}}=\cos\text{x and }\frac{\text{dv}}{\text{dx}}=-\sin\text{x}$
$\therefore\frac{\frac{\text{du}}{\text{dx}}}{\frac{\text{dv}}{\text{dx}}}=\frac{\cos\text{x}}{-\sin\text{x}}$
$\Rightarrow\frac{\text{du}}{\text{dv}}=-\cot\text{x}$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "Solve the Following Question.(3 Marks)" from Differentiation→Differentiation — all question types→Maths STD 12 Science question papers→Maharashtra Board STD 12 Science question papers→Maharashtra Board question paper generator→

Similar questions

Evaluate the following integrals:
$\int\Big(\frac{1}{\log\text{x}}-\frac{1}{(\log\text{x})^2}\Big)\text{dx}$
→
In eight throws of a die, 5 or 6 is considered a success. Find the mean number of successes and the standard deviation.
→
The volume of a sphere increases at the rate of $20 cm ^3 / sec$. Find the rate of change of its

surface area, when its radius is 5 cm.

→
Evaluate the following integrals:
$\int\frac{1-\cos\text{x}}{1+\cos\text{x}}\text{dx}$
→
Evaluate the following integrals:$\int\limits^1_{-1}\text{x|x|}\text{dx}$
→
Find the area of the pallallelogram determined by the vectors:$2\hat{\text{i}}$ and $3\hat{\text{j}}$
→
Using determinants, find the equation of the line joining the points:
$(3, 1)$ and $(9, 3)$
→
Find the combined equation of a pair of lines passing through the origin and perpendicular to the lines represented by following equations :
$3 x^2-4 x y=0$
→
If $\mathrm{u}=\hat{\mathbf{i}}-2 \hat{\mathbf{j}}+\hat{k}, \bar{v}=3 \hat{\mathbf{i}}+\hat{k}$ and $\bar{w}=\hat{\mathbf{j}}-\hat{\mathbf{k}}$ are given vectors, then find

(i) $[\bar{u}+\bar{w}] \cdot[(\bar{w} \times \bar{r}) \times(\bar{r} \times \bar{w})]$

Question is modified.

If $\bar{u}=\hat{\mathbf{i}}-2 \hat{\mathbf{j}}+\hat{k}, \bar{r}=3 \hat{\mathbf{i}}+\hat{k}$ and $\bar{w}=\hat{\mathbf{j}}-\hat{\mathbf{k}}$ are given vectors, then find $[\bar{u}+\bar{w}] \cdot[(\bar{u} \times$

$\bar{r}) \times(\bar{r} \times \bar{w})]$

→
Evaluate the following integrals:
$\int\tan^32\text{x}\sec2\text{x dx}$
→