Podcast
Questions and Answers
What is the solution of $1 \rac{1}{1+x^2} dx$?
What is the solution of $1 \rac{1}{1+x^2} dx$?
- $0$
- $1$
- $x = 1$
- $ ext{sin } x$ (correct)
What does $rac{d}{dx} \rac{x^2}{2}$ equal to?
What does $rac{d}{dx} \rac{x^2}{2}$ equal to?
- $x^2 dx$
- $3x^2 dx$ (correct)
- $x^2 - 1$
- $3x + 1$
What is the integral of $tan(3x) \rac{ln 3}{4} dx$?
What is the integral of $tan(3x) \rac{ln 3}{4} dx$?
- $x + c$
- $rac{1}{4}$
- $ ext{ln(sin } x) + c$
- $rac{ ext{ln } 3}{4} sec^2 4$ (correct)
What is the slope of a line parallel to the x-axis?
What is the slope of a line parallel to the x-axis?
Under what condition will the lines represented by $ax^2 + 2hxy + by^2 = 0$ be perpendicular (orthogonal)?
Under what condition will the lines represented by $ax^2 + 2hxy + by^2 = 0$ be perpendicular (orthogonal)?
What is the range of the function 𝑓(𝑥) = √𝑥^2 − 9?
What is the range of the function 𝑓(𝑥) = √𝑥^2 − 9?
What is the derivative of 𝑐𝑜𝑠(𝑥) with respect to 𝑐𝑜𝑠(𝑥)?
What is the derivative of 𝑐𝑜𝑠(𝑥) with respect to 𝑐𝑜𝑠(𝑥)?
If 𝐟(𝐱) = 𝑐𝑜𝑠(𝐱), then what is the derivative 𝐟 ′ ( )?
If 𝐟(𝐱) = 𝑐𝑜𝑠(𝐱), then what is the derivative 𝐟 ′ ( )?
If the function 𝑓(𝑥) has a maximum value at 𝑥 = 𝑐, then what is the value of 𝐟 ′ (𝑐)?
If the function 𝑓(𝑥) has a maximum value at 𝑥 = 𝑐, then what is the value of 𝐟 ′ (𝑐)?
What is the integral of 𝑡𝑎𝑛(𝑥) with respect to 𝑡𝑎𝑛(𝑥)?
What is the integral of 𝑡𝑎𝑛(𝑥) with respect to 𝑡𝑎𝑛(𝑥)?
What is the domain of the function f: X→Y defined by f(x) = C, ∀ x ∈X, y∈Y?
What is the domain of the function f: X→Y defined by f(x) = C, ∀ x ∈X, y∈Y?
If f: X→Y is a function, then what is X called?
If f: X→Y is a function, then what is X called?
What is the range of the function f(x) = √𝒙 + 𝟐 for x ≥ 1?
What is the range of the function f(x) = √𝒙 + 𝟐 for x ≥ 1?
Which one represents Leibniz notation for the derivative of f(x)?
Which one represents Leibniz notation for the derivative of f(x)?
What is the derivative of tan(x) with respect to tan(x)?
What is the derivative of tan(x) with respect to tan(x)?
What is the solution of the differential equation 𝑦dx+xdy=0?
What is the solution of the differential equation 𝑦dx+xdy=0?
If the function 𝑓(𝑥) has a maximum value at 𝑥 = 𝑐, then what is the value of 𝐟 ′ (𝐱)?
If the function 𝑓(𝑥) has a maximum value at 𝑥 = 𝑐, then what is the value of 𝐟 ′ (𝐱)?
What is the equation of a horizontal line through the point (𝟑, 𝟏)?
What is the equation of a horizontal line through the point (𝟑, 𝟏)?
What is the range of the function 𝑓(𝑥) = √𝑥^2 − 9?
What is the range of the function 𝑓(𝑥) = √𝑥^2 − 9?
What is the derivative of 𝑐𝑜𝑠(𝑥) with respect to 𝑐𝑜𝑠(𝑥)?
What is the derivative of 𝑐𝑜𝑠(𝑥) with respect to 𝑐𝑜𝑠(𝑥)?
