Limits and Derivatives — Maths STD 11 Science — Question
CBSE BoardEnglish MediumSTD 11 ScienceMathsLimits and Derivatives2 Marks
Question
Differentiate the following functions. $(3\text{x}+5)(1+\tan\text{x})$
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Answer
$\frac{\text{d}}{\text{dx}}(3\text{x}+5)(1+\tan\text{x})$ $=(3\text{x}+5)\frac{\text{d}}{\text{dx}}(1+\tan\text{x})+(1+\tan\text{x})\frac{\text{d}}{\text{dx}}(3\text{x}+5)$ $=(3\text{x+5)}(\sec^{2}\text{x})+(1+\tan\text{x})(3)$ $=3\text{x}\sec^{2}\text{x}+5\sec^{2}\text{x}+3+3\tan\text{x}$ Hence, the required answer is $3\text{x}\sec^{2}\text{x}+5\sec^{2}\text{x}+3+3\tan\text{x}.$
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