# Calculus

posted by
**Sarah Berkley Adamson**
.

consider the function y = 2sinx

a) determine dy/dx

b) calculate the exact value of x for which the slope of the tangent to the graph is √2 in the interval [0, pie]

c) determine the equation of the tangent in part (b).

d) determine the y-intercept of the tangent in part (c).