Q1 of 149 Page 16

Find the equation of the tangent to the curve at the point (a²/4, a²/4)

finding slope of the tangent by differentiating the curve

at slope m, is – 1

the equation of the tangent is given by y – y₁ = m(x – x₁)

Show that the tangents to the curve y = 7x³ + 11 at the points x = 2 and x = – 2 are parallel.

Find the point on the curve y = x³ where the Slope of the tangent is equal to x – coordinate of the point.

Find the equation of the normal to
y = 2x³ – x² + 3 at (1, 4).

Find the equation of the tangent and the normal to the following curves at the indicated points:

y = x⁴ – 6x³ + 13x² – 10x + 5 at (0, 5)

Find the equation of the tangent to the curve at the point (a2/4, a2/4)