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\frac{d}{dx}\left(80+90\cos\left(\frac{\pi }{3}\cdot x\right)\right)

Find the derivative of 80+90cos(pi/3x)

Answer

$-94.2478\sin\left(\frac{4}{\sqrt{2}}x\right)$

Step-by-step explanation

Problem

$\frac{d}{dx}\left(80+90\cos\left(\frac{\pi }{3}\cdot x\right)\right)$
1

The derivative of a sum of two functions is the sum of the derivatives of each function

$\frac{d}{dx}\left(90\cos\left(\frac{4}{\sqrt{2}}x\right)\right)+\frac{d}{dx}\left(80\right)$

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Answer

$-94.2478\sin\left(\frac{4}{\sqrt{2}}x\right)$

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$\frac{d}{dx}\left(80+90\cos\left(\frac{\pi }{3}\cdot x\right)\right)$

Main topic:

Differential calculus

Used formulas:

3. See formulas

Time to solve it:

0.22 seconds