Find the slopes of tangent and normal to the curve `f(x)=3x^2-5` at `x=1/2`

Find the equations of the tangent and the normal to the curve x^ 2 - 4y^2 = 9 at the points (5,-2)

Find the equations of the tangent and normal to the curve at the indicated point y=x^4 - 6x^3 +13x^2 - 10x +5 at (0,5).

Find the equation of the tangent and the normal to the curve (x/a)^n+(y/b)^n = 2 at the point (a,b)

Find the slope of tangent to the curve y = 3x^2 - 4x at point whose x - coordinate is 2.

Find the slope of the normal to the curve x = 1 - a sin theta , y = b cos^2 theta at theta = pi/2

Find the sldpe of the tangent to the curve y(x^2+1) =x at the point (1,1/2)

Find the sldpe of the tangent to the curve y=(1+x)sinxatx= pi/4

What is the slope of the normal to the curve y=2x^(2) + 3 sin x at x = 0?

Find the equation of the tangent and normal to the following curve at the given point : y=2x^3-2x^2-8x+7 at (1,-1)