Question

Find the slope of the tangent to the curve y = 2sin²(3x) at `x = π/6`.

Answer 1

Given, y = 2sin²(3x)

`dy/dx = 2 xx 2 sin (3x) cos (3x) xx 3`

= 6 × 2 sin (3x) cos (3x)

`dy/dx = 6 xx sin 6x`

Now, `dy/dx]_(at  x  =  π/6) = 6 xx sin π`

= 0