find derivative of f(x)= x²-2?
To find the derivative of f(x) = x² – 2, we can use the power rule for differentiation
To find the derivative of f(x) = x² – 2, we can use the power rule for differentiation. The power rule states that the derivative of x^n is n*x^(n-1). Applying this rule to our function:
f'(x) = d/dx (x² – 2)
First, we differentiate each term separately, keeping in mind that the derivative of a constant is zero:
f'(x) = d/dx (x²) – d/dx (2)
Now, we can apply the power rule to find the derivative of x^2. We get:
f'(x) = 2x – 0
Since d/dx (2) equals zero, the derivative simplifies to:
f'(x) = 2x
Therefore, the derivative of f(x) = x² – 2 is f'(x) = 2x.
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