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The derivative of a function multiplied by a constant is equal to the constant times the derivative of the function
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$2\frac{d}{dx}\left(x^{-131}\right)$
Learn how to solve differential calculus problems step by step online. Simplify the expression f(x)=2x^(-131). The derivative of a function multiplied by a constant is equal to the constant times the derivative of the function. The power rule for differentiation states that if n is a real number and f(x) = x^n, then f'(x) = nx^{n-1}. Subtract the values -131 and -1. Applying the property of exponents, \displaystyle a^{-n}=\frac{1}{a^n}, where n is a number.