Slope of Curve

Calculus Level 1

What is the slope of the line tangent to f ( x ) = x 3 + 1 f(x)=x^3+1 at the point ( 1 , 2 ) ? (1,2)?


The answer is 3.

Arron Kau by Arron Kau

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2 solutions

Vedant Verma
Jul 11, 2018

The derivative is 3x^2 so the slope is 3

4 Helpful 0 Interesting 0 Brilliant 0 Confused
Troi Mesa
Aug 4, 2018

I first took the derivative of x^3 + 1, which is 3x. Then i substituted the x with the value of the x-coordinate of the point, which is 1

So 3(1) = 3

0 Helpful 1 Interesting 0 Brilliant 0 Confused

d d x ( x 3 + 1 ) = 3 x 2 \frac{d}{dx}(x^3+1)=3x^2 Nice try, though!

Blan Morrison - 2 years, 10 months ago

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