We have this function here:
[tex]f(x)=x^2-3x-14[/tex]We can differentiate this function using the power rule:
[tex]\frac{d}{dx}x^n=nx^{n-1}[/tex]We will subtract the power/exponent by 1 and multiply the original exponent to the constant in front.
[tex]f^{\prime}(x)=2x-3[/tex]The differentiated function is shown above.