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Multiply the single term $-3$ by each term of the polynomial $\left(3z-1\right)$
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$derivdef\left(-9z+3+1\right)$
Learn how to solve definition of derivative problems step by step online. Find the derivative of 5(1-2(2z-1))=-3(3z-1)+1 using the definition. Multiply the single term -3 by each term of the polynomial \left(3z-1\right). Add the values 3 and 1. Find the derivative of -9z+4 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 -9z+4. Substituting f(x+h) and f(x) on the limit, we get. Multiply the single term -9 by each term of the polynomial \left(z+h\right).