Application of Derivatives
Find the equation of the normal to the curve y=∣∣x2−∣∣x∣∣atx=−2.
If in a triangle ABC, the side c and the angle C remain constant, while the remaining elements are changed slightly, show that cosAda+cosBdb=0.
If the radius of a sphere is measured as 9cm with an error of 0.03 cm, then find the approximate error in calculating its volume.
Prove that there exist exactly two non-similar isosceles triangles ABC such that tanA+tanB+tanC=100.