Differentiate the following functions. (ax^ 2 + )(p+q )

Question

Differentiate the following functions.
$(\text{ax}^{2}+\cot\text{x})(\text{p}+\text{q}\cos\text{x})$

✓

Answer

$\frac{\text{d}}{\text{dx}}(\text{ax}^{2}+\cot\text{x})(\text{p}+\text{q}\cos\text{x})$
$=(\text{ax}^{2}+\cot\text{x})\frac{\text{d}}{\text{dx}}(\text{p}+\text{q}\cot\text{x})+(\text{p}+\text{q}\cos\text{x})\frac{\text{d}}{\text{dx}}(\text{ax}^{2}+\cot\text{x})$
$=(\text{ax}^{2}+\cot\text{x})(-\text{q}\sin\text{x})+(\text{p}\sin\text{x})+(\text{p}+\text{q}\cos\text{x})(2\text{ax}-\text{cosec}^{2}\text{x}\big)$
Hence, the required answer is
$(\text{ax}^{2}+\cot\text{x})(-\text{q}\sin\text{x})+(\text{p}\sin\text{x})+(\text{p}+\text{q}\cos\text{x})(2\text{ax}-\text{cosec}^{2}\text{x}\big)$

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 "2 Marks Questions" from Limits and Derivatives→Limits and Derivatives — all question types→MATHS STD 11 Science question papers→Rajasthan Board STD 11 Science question papers→Rajasthan Board question paper generator→

Limits and Derivatives — MATHS STD 11 Science — Question

Answer

Need a full question paper?

Explore more

Similar questions