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Find the derivative of (sin(pix)+cos(pix))^2=2

\frac{d}{dx}\left(\left(\sin\left(\pi x\right)+\cos\left(\pi x\right)\right)^2=2\right)

Step by step solution

Problem

$\frac{d}{dx}\left(\left(\sin\left(\pi x\right)+\cos\left(\pi x\right)\right)^2=2\right)$

Show full step-by-step solution

Answer

$2\frac{d}{dx}\left(\cos\left(\pi x\right)+\sin\left(\pi x\right)\right)\left(\cos\left(\pi x\right)+\sin\left(\pi x\right)\right)=0$

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$\frac{d}{dx}\left(\left(\sin\left(\pi x\right)+\cos\left(\pi x\right)\right)^2=2\right)$

Main topic:

Differential calculus

Used formulas:

1. See formulas

Time to solve it:

0.22 seconds