Find the derivative $\frac{d}{dx}\left(4\sec\left(x\right)-2\csc\left(x\right)\right)$ using the sum rule

Got another answer? Verify it here!

Learn how to solve sum rule of differentiation problems step by step online.

$\frac{d}{dx}\left(4\sec\left(x\right)\right)+\frac{d}{dx}\left(-2\csc\left(x\right)\right)$

Learn how to solve sum rule of differentiation problems step by step online. Find the derivative (d/dx)(4sec(x)-2csc(x)) using the sum rule. The derivative of a sum of two or more functions is the sum of the derivatives of each function. The derivative of a function multiplied by a constant (4) is equal to the constant times the derivative of the function. The derivative of a function multiplied by a constant (-2) is equal to the constant times the derivative of the function. Taking the derivative of secant function: \frac{d}{dx}\left(\sec(x)\right)=\sec(x)\cdot\tan(x)\cdot D_x(x).