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If f(x) = 5x^2 + 3x, what is f'(1)?
If f(x) = 5x^2 + 3x, what is f'(1)?
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Practice Questions
1 question
Q1
If f(x) = 5x^2 + 3x, what is f'(1)?
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f'(x) = 10x + 3; f'(1) = 10*1 + 3 = 13.
Questions & Step-by-step Solutions
1 item
Q
Q: If f(x) = 5x^2 + 3x, what is f'(1)?
Solution:
f'(x) = 10x + 3; f'(1) = 10*1 + 3 = 13.
Steps: 6
Show Steps
Step 1: Identify the function f(x) = 5x^2 + 3x.
Step 2: Find the derivative of the function, which is f'(x).
Step 3: Use the power rule to differentiate: The derivative of 5x^2 is 10x, and the derivative of 3x is 3.
Step 4: Combine the derivatives to get f'(x) = 10x + 3.
Step 5: Now, substitute x = 1 into the derivative: f'(1) = 10*1 + 3.
Step 6: Calculate the result: 10*1 = 10, then add 3 to get 13.
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