find derivative of f(x)= 2x²-4?
To find the derivative of the function f(x) = 2x² – 4, we can apply the power rule for differentiation
To find the derivative of the function f(x) = 2x² – 4, we can apply the power rule for differentiation. Here’s how:
Step 1: Identify the power of x. In this case, we have x raised to the power of 2.
Step 2: Multiply the coefficient in front of x with the power of x, and reduce the power by 1.
Applying the power rule, we have:
f'(x) = 2 * 2x^(2-1)
Simplifying the exponent of x:
f'(x) = 2 * 2x^1
Which simplifies to:
f'(x) = 4x
Therefore, the derivative of f(x) = 2x² – 4 is f'(x) = 4x.
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