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If f(x) = 3x² - 6x + 2, find f'(1). f'(1) = (Simplify your answer.)

User Hemen
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To find the derivative of the function f(x) = 3x² - 6x + 2, we can use the power rule for differentiation.

The power rule states that if we have a term of the form ax^n, the derivative with respect to x is given by nx^(n-1).

Applying the power rule to each term of f(x), we get:

f'(x) = d/dx(3x²) - d/dx(6x) + d/dx(2)

Taking the derivative of each term:

f'(x) = 2(3)x^(2-1) - 6(1)x^(1-1) + 0

Simplifying:

f'(x) = 6x - 6

Now, to find f'(1), we substitute x = 1 into the derivative:

f'(1) = 6(1) - 6 = 6 - 6 = 0

Therefore, f'(1) = 0.

User Mirandy
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