If f'(x)= 12x^2 -6x +1, and f(1)=5, then find f(0)=a. -1b. 3c. 2d. 4
Added by Joyce W.
Step 1
We have f'(x) = 12x^2 - 6x + 1. Now, we integrate with respect to x: f(x) = ∫(12x^2 - 6x + 1) dx = 4x^3 - 3x^2 + x + C Now, we use the given information that f(1) = 5: 5 = 4(1)^3 - 3(1)^2 + 1 + C Solving for C, we get: Show more…
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