Find the derivative using the constant rule [x]
Answer
$-94.2478\sin\left(\frac{4}{\sqrt{2}}x\right)$
Step-by-step explanation
Problem to solve:
$\frac{d}{dx}\left(80+90\cos\left(\frac{\pi }{3}\cdot x\right)\right)$
1
The derivative of a sum of two functions is the sum of the derivatives of each function
$\frac{d}{dx}\left(80\right)+\frac{d}{dx}\left(90\cos\left(\frac{4}{\sqrt{2}}x\right)\right)$
Answer
$-94.2478\sin\left(\frac{4}{\sqrt{2}}x\right)$