Question

Differentiate f(x)=(3 x²+ π)

Answer 1

To differentiate the function f(x) = 3x² + π, we use the power rule of differentiation. The derivative of 3x² is 6x, and the derivative of π (which is a constant) is 0. Therefore, the derivative of f(x) is f'(x) = 6x.

Step-by-step explanation:

To differentiate the function f(x) = 3x² + π, we use the power rule of differentiation. The power rule states that if we have a function of the form f(x) = ax^n, then the derivative is given by f'(x) = nax^(n-1). In this case, the derivative of 3x² is 6x, and the derivative of π (which is a constant) is 0. Therefore, the derivative of f(x) is f'(x) = 6x.