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  • Find the derivative of the following functions: 5 sec x plus 4 cos x

11 (iii)   Find the derivative of the following functions: 5 \sec x + 4 \cos x

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Given

f(x)=5 \sec x + 4 \cos x

As we know the property 

\frac{d(y_1+y_2)}{dx}=\frac{dy_1}{dx}+\frac{dy_2}{dx}

Applying the property, we get

\frac{d(5\sec x+4\cos x)}{dx}=\frac{d(5\sec x)}{dx}+\frac{d(4\cos x)}{dx}

\frac{d(5\sec x+4\cos x)}{dx}=5\tan x\sec x+4(-\sin x)

\frac{d(5\sec x+4\cos x)}{dx}=5\tan x\sec x-4\sin x

Posted by

Pankaj Sanodiya

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