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  • If <img alt="\frac{dA}{dx}=\sec\frac{\pi}{4}\tan\frac{\pi}{4}" src="https://entrancecorner.oncodecogs.com/gif.latex?%5Cfrac%7BdA%7D%7Bdx%7D%3D%5Csec%5Cfrac%7B%5Cpi%7D%7B4%7D%5Ctan%5Cfrac%7B%5C

If \frac{dA}{dx}=\sec\frac{\pi}{4}\tan\frac{\pi}{4} then A= ?

Option: 1

\sec \frac{\pi}{4}


Option: 2

\sec \frac{\pi}{4}+C


Option: 3

\sqrt{2}x+C\\


Option: 4

None of these


Answers (1)

best_answer

\\\frac{dA}{dx}=\sec \frac{\pi}{4} \tan \frac{\pi}{4} \\\\\frac{dA}{dx}=\sqrt{2}\\

Now checking options

Diiferentiation of option A and B give 0 as these are constant functions

On differentiating option C , A=\sqrt{2}x+C\\, we get 
\frac{dA}{dx}=\sqrt{2}

Hence option C is correct

Posted by

Shailly goel

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