Final answer to the problem
$-2\sin\left(x\right)-4\sec\left(x\right)^2$
Got another answer? Verify it here!
Step-by-step Solution
Learn how to solve problems step by step online. Find the derivative d/dx(2cos(x)-4tan(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 is equal to the constant times the derivative of the function. The derivative of the cosine of a function is equal to minus the sine of the function times the derivative of the function, in other words, if f(x) = \cos(x), then f'(x) = -\sin(x)\cdot D_x(x). The derivative of the tangent of a function is equal to secant squared of that function times the derivative of that function, in other words, if {f(x) = tan(x)}, then {f'(x) = sec^2(x)\cdot D_x(x)}.
Final answer to the problem
$-2\sin\left(x\right)-4\sec\left(x\right)^2$
