# Find the equation of the normal to curve $$y^2 = 4x$$ which passes through the point $$(1, 2).$$

Toolbox:
• $\large\frac{d}{dx}$$(x^n)=nx^{n-1} Step 1: The curve is y^2=4x Differentiating with respect to x 2y\large\frac{dy}{dx}$$=4$
$\large\frac{dy}{dx}=\frac{4}{2y}$
$\large\frac{dy}{dx}=\frac{2}{y}$
Step 2:
At $(1,2)$