Question

Question #36745

Answer 1

Slope is 4.

Explanation:

The gradient or slope of the tangent to the curve at a point is given by evaluating the first derivative of the function at that point.

For `f(x) = 2x^2 + 1` we shall compute the derivative using the power rule:

For `y = x^n rarr (dy)/(dx) = nx^(n-1)`

So `f'(x) = 2(2x^1) + 0 = 4x`

Slope given by `f'(1) = 4(1) = 4`