Differential Calculus

Question 1

Derivative of
a^u
e^u
ln.u
loga.u

Question 2

Derivative of trigo functions

Question 3

Derivative of inverse trigo functions

Question 4

Derivative of hyperbolic functions

Question 5

Derivative of inverse hyperbolic functions

Question 6

Derivative of inverse hyperbolic trigo func

Question 7

Product and quotient rule

Question 8

Slope of the curve

Question 9

Mean value theorem

Question 10

Rolles theorem

Question 11

Critical point

Question 12

Point of inflection

Question 13

Radius of curvature

Question 14

Curvature

Question 15

Center of curvature

Question 16

Linearization

Question 17

Marginal and actual profit
(Basta pag may marginal)

Question 18

Revenue

Question 19

Limit
(x,y)➡️(a,b)

Question 20

Partial derivative
2 conventions

Question 21

Largest rectangle inscribed in a triangle with one side on base

Largest rectangle inscribed in right triangle with sides of the rectangle parallel to the legs

Question 22

Largest rectangle inscribed in an ellipse

Question 23

Largest area of triangle given perimeter

Question 24

Maximum light admittance for a rectangular window surmounted with isosceles triangle

Question 25

Maximum length of line segment tangent to an ellipse

Question 26

Rectangle of maximum perimeter inscribed in circle

Question 27

Most efficient trapezoidal section (maximum capacity with minimum perimeter)

Question 28

Length of rigid beam that can pass a perpendicular hallway

Minimum length of ladder to be extended from ground to wall with intervening fence

Question 29

Maximized angle subtended by statue/ picture

Question 30

Location of single stake at ground level to minimize length of wire

Question 31

Least amount of material for a given volume of cone

Question 32

Maximum volume of cone with a given slant height

Question 33

Volume of largest cone inscribed angle in hemisphere

Question 34

Stiffest beam that can be cut from a circular section of radius r

Question 35

Caltech

Question 36

Caltech