The contentment obtained after eating x-units of a new dish at a trial function is given by the function . If the marginal contentment is defined as the rate of change of f(x) with respect to the number of units consumed at an instant, then find the marginal contentment when three units of dish are consumed.
Write the equation of tangent drawn to the curve y = sin x at the point (0, 0).
Find the slope of tangent to the curve y = 3x² – 6 at the point on it whose x-coordinate is 2.
Using derivative, find the approximate percentage increase in the area of a circle if its radius is increased by 2%.