Question

Let \[y=f(x)\]. What is the first derivative of \[y\] with respect to \[x\]?

Options

• \[\frac{d^2y}{dx^2}=f'(x)\]

• \[\frac{dy}{dx}=f''(x)\]

• \[\frac{d^2y}{dx^2}=f(x)\]

• \[\frac{dy}{dx}=f'(x)\]

Answer 1

For \[y=f(x)\], differentiation with respect to \[x\] gives \[\frac{dy}{dx}=f'(x)\]. This derivative is called the first derivative of \[y\] with respect to \[x\].