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The derivative of a function multiplied by a constant ($\frac{1}{9}$) is equal to the constant times the derivative of the function
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$\frac{1}{9}\frac{d}{dx}\left(x^4\right)$
Learn how to solve integral calculus problems step by step online. Simplify the expression f(x)=(x^4)/9. The derivative of a function multiplied by a constant (\frac{1}{9}) is equal to the constant times the derivative of the function. Divide 1 by 9. 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 4 and -1.