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Apply the product rule for differentiation: $(f\cdot g)'=f'\cdot g+f\cdot g'$
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$4\frac{d}{dx}\left(\sec\left(x\right)\right)\tan\left(x\right)+\sec\left(x\right)\left(4\frac{d}{dx}\left(\tan\left(x\right)\right)+\frac{d}{dx}\left(4\right)\tan\left(x\right)\right)$
Learn how to solve operations with infinity problems step by step online. Find the derivative using the product rule d/dx(4sec(x)tan(x)). Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g'. The derivative of the constant function (4) is equal to zero. Any expression multiplied by 0 is equal to 0. x+0=x, where x is any expression.