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Multiply the single term $t$ by each term of the polynomial $\left(7t-1\right)$
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$derivdef\left(7t\cdot t-t\right)$
Learn how to solve problems step by step online. Find the derivative of 27183/10000t=t(7t-1) using the definition. Multiply the single term t by each term of the polynomial \left(7t-1\right). When multiplying two powers that have the same base (t), you can add the exponents. Find the derivative of 7t^2-t 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 7t^2-t. Substituting f(x+h) and f(x) on the limit, we get. Multiply the single term -1 by each term of the polynomial \left(t+h\right).