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Multiply the single term $3$ by each term of the polynomial $\left(2t-1\right)$
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$derivdef\left(6t-3-3\right)$
Learn how to solve definition of derivative problems step by step online. Find the derivative of t=3(2t-1)-3 using the definition. Multiply the single term 3 by each term of the polynomial \left(2t-1\right). Add the values -3 and -3. Find the derivative of 6t-6 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 6t-6. Substituting f(x+h) and f(x) on the limit, we get. Multiply the single term 6 by each term of the polynomial \left(t+h\right).