Find the function f given that the slope of the tangent the

Find the function f given that the slope of the tangent the at .any point (jr, t[x)) in I (x) and that the graph of f paw. through the given point.

Solution

secu +tanu

=(1/cosu)+(sinu/cosu)

=(1+sinu)/cosu

multiply and divide by (1-sinu)

=[(1+sinu)(1-sinu)]/[cosu(1-sinu)]

=[1-sin²u]/[cosu(1-sinu)]

=(cos²u)/[cosu(1-sinu)]

cancellation property

=cosu/(1-sinu)