Final answer to the problem
$-\frac{1}{5}\sin\left(x\right)$
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Step-by-step Solution
Learn how to solve basic differentiation rules problems step by step online. Find the derivative of cos(x)/5. The derivative of a function multiplied by a constant (\frac{1}{5}) 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). Multiply the fraction and term in -\left(\frac{1}{5}\right)\sin\left(x\right).
Final answer to the problem
$-\frac{1}{5}\sin\left(x\right)$
