Differential Calculus

Question 1

A function where no two different inputs produce the same output

Answer 1

Injective (one-to-one)

Question 2

Function that ensures that every element in the range is mapped on at least one element from the domain

Answer 2

Surjective (onto)

Question 3

Function that is both surjective and injective at the same time

Answer 3

Bijective (one-to-one correspondence)

Question 4

Type of function ensures that every element in the range is mapped on at least one element from the domain

Answer 4

Surjective Function (onto)

Question 5

Function where no different inputs produce the same output

Answer 5

Injective Function (one-to-one)

Question 6

Function that are both surjective and injective at the same time

Answer 6

Bijective (one-to-one correspondence)

Question 7

Discontinuity occurs when the limit exists but does not equal the function value

Answer 7

Removable/Point discontinuity

Question 8

Discontinuity where a function has different left-hand and right-hand limits

Answer 8

Jump discontinuity

Question 9

Discontinuity occurs when the function grows without bound as x approaches a point

Answer 9

Infinite discontinuity

Question 10

critical point where a function doesnt have a local maximum or minimum, but instead curves upward in one direction and downward in another

Answer 10

Saddle point

Question 11

A relation that expresses both x and t in terms of a third variable

Answer 11

Parametric Equations

Question 12

How do you find the slope (dy/dx) of a parametric curve?

Answer 12

Divide dy/dt by dx/dt

Question 13

The rate of change of a function with respect to one variable while holding others constant

Answer 13

Partial Derivative