Josephood7

Differentiate y=sec(x)tan(x)y=sec(x)tan(x).

y′=y′= 

Differentiate y=7+sinxx+cosx.y=7+sin⁡xx+cos⁡x.

y′=y′= 

 Evaluate the limit

Find the limit.

Notes: Enter "DNE" if limit Does Not Exist.

limh→01−cos(8h)cos2(6h)−1limh→01−cos(8h)cos2(6h)−1 = 

A semicircle with diameter PQPQ sits on an isosceles triangle PQRPQR to form a region shaped like an ice cream cone, as shown in the figure. If A(θ)A(θ) is the area of the semicircle and B(θ)B(θ) is the area of the triangle, find limθ→0+A(θ)B(θ)limθ→0+A(θ)B(θ).