QuestionFind the slope of the function $f(x)=4x^{3}+5x^{2}+3x+8$ at the point (3, 170).

Studdy Solution
Calculate the value of the derivative at $x=3$.
$$f'(3) =12(9) +30 +3 =108 +30 +3 =141$$The slope of the function $f(x)=4 x^{3}+5 x^{2}+3 x+8$ at the point $(3,170)$ is $141$.