Question

Y = 1/2x^2+1/4x+1/8

4. Find the slope of the line tangent at the given x

Answer 1

dy/dx = x + ¼

Explanation:

Using differentiation to find the given value,

`y = (1)/(2) {x}^(2) + (1)/(4) x + (1)/(8) \\ (dy)/(dx) = 2((1)/(2)) {x}^(2 - 1) + 1((1)/(4) ) {x}^(1 - 1) + 0 \\ = x + (1)/(4)`