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$\frac{d}{dl}\left(100\sqrt[10]{l^{3}}k^7\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative using the quotient rule d/dl(100l^3^1/10k^7). Simplifying. 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}. Applying the property of exponents, \displaystyle a^{-n}=\frac{1}{a^n}, where n is a number.