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Multiply the single term $4$ by each term of the polynomial $\left(6+7y\right)$
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$derivdef\left(3x\left(6+7y\right)+24+28y\right)$
Learn how to solve problems step by step online. Factor the expression 3x(6+7y)+4(6+7y). Multiply the single term 4 by each term of the polynomial \left(6+7y\right). Solve the product 3x\left(6+7y\right). Multiply the single term x by each term of the polynomial \left(18+21y\right). Find the derivative of 18x+21yx+24+28y using the definition. Apply the definition of the derivative: \displaystyle f'(x)=\lim_{h\to0}\frac{f(x+h)-f(x)}{h}. The function f(x) is the function we want to differentiate, which is 18x+21yx+24+28y. Substituting f(x+h) and f(x) on the limit, we get.