Use first principles to find the derivative of \(f(x)=3x+2\).

Use first principles to find the derivative of \(f(x)=x^2\).

Use first principles to find the derivative of \(f(x)=x^2+4x\).

Use first principles to find \(f'(1)\) for \(f(x)=x^2+1\).

Use first principles to find the derivative of \(f(x)=5-x\).

Use first principles to find the derivative of \(f(x)=x^3\).

Use first principles to find the derivative of \(f(x)=\frac{1}{x}\), for \(x\ne0\).

Use first principles to find \(f'(2)\) for \(f(x)=\sqrt{x}\).

Using first principles, find the slope of the tangent to \(f(x)=x^2-3x\) at \(x=4\).

Use first principles to find the derivative of \(f(x)=ax+b\), where \(a\) and \(b\) are constants.