Final answer to the problem
Step-by-step Solution
Specify the solving method
Add the values $30$ and $120$
Learn how to solve definition of derivative problems step by step online.
$derivdef\left(\tan\left(150\right)\right)$
Learn how to solve definition of derivative problems step by step online. Find the derivative of tan(30+120) using the definition. Add the values 30 and 120. Calculating the tangent of 150 degrees. Find the derivative of -\frac{\sqrt{3}}{3} using the definition. Apply the definition of the derivative: \displaystyle f'(x)=\lim_{h\to0}\frac{f(x+h)-f(x)}{h}. The function f(x) is the function we want to differentiate, which is -\frac{\sqrt{3}}{3}. Substituting f(x+h) and f(x) on the limit, we get. Subtract the values \frac{\sqrt{3}}{3} and -\frac{\sqrt{3}}{3}.