Final Answer
Step-by-step Solution
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Apply implicit differentiation by taking the derivative of both sides of the equation with respect to the differentiation variable
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$\frac{d}{dx}\left(\left(\sin\left(\pi x\right)+\cos\left(\pi x\right)\right)^2\right)=\frac{d}{dx}\left(2\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative d/dx((sin(pix)+cos(pix))^2=2). Apply implicit differentiation by taking the derivative of both sides of the equation with respect to the differentiation variable. The derivative of the constant function (2) is equal to zero. The power rule for differentiation states that if n is a real number and f(x) = x^n, then f'(x) = nx^{n-1}. The derivative of a sum of two or more functions is the sum of the derivatives of each function.