12.2k views
3 votes
Pls help me with this calculus question

Pls help me with this calculus question-example-1
User Norrin Rad
by
8.4k points

1 Answer

1 vote

Answer:

5

Explanation:

Gradient (slope) of the curve can be found by deriving a curve function.

In this scenario, the given function is a polynomial function which we can use Power Rules to derive it.

Power Rules


\displaystyle{y=ax^n \to y' = nax^(n-1)}

Thus, using the power rules, we will have:


\displaystyle{y'=3x^2-4x+5}

Note that deriving a constant will always result in 0.

Then the problem gives us that we want to find the slope or gradient at where the curve crosses y-axis.

The curve crosses y-axis at x = 0 only. Therefore, we substitute x = 0 in a derived function.


\displaystyle{y'(0) = 3(0)^2-4(0)+5}\\\\\displaystyle{y'(0) = 5}

Therefore, the slope at the point where a curve crosses y-axis will be 5.

User Adrianwadey
by
7.4k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories