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Question 23 Differentiate. f(x) = (5x - 5)(6x + 1) O f'(x) = 60x - 25 O f'(x) = 30x - 25 O f'(x) = 60x - 35 f'(x) = 60x - 12.5

Question 23 Differentiate. f(x) = (5x - 5)(6x + 1) O f'(x) = 60x - 25 O f'(x) = 30x-example-1
User Dtolnay
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1 Answer

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24 votes

We have to differentiate f(x).

We can do this as:


\begin{gathered} f(x)=(5x-5)(6x+1)=30x^2-30x+5x-5=30x^2-25x-5 \\ f\text{'}(x)=30\cdot(2x)-25\cdot(1)-0 \\ f\text{'}(x)=60x-25 \end{gathered}

The answer is f'(x)=60x-25.

User K Arun Singh
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