x^3 - 3x2y + 2xy^2 = 12 taking the derivative of this function would be an example of
What is implicit differentiation?
The best way to solve the indefinite integral
What is u-substitution?
This statement represents the area of the square cross-section when the length between the x-axis and the function is 4.
What is 16?
If v(t) = t^2 -8t + 16 the velocity at t = 4 seconds is
What is 0?
This problem requires the use of
What is l'hopital's rule?
The derivative of f(x) = 3sinx - 2cosx
What is 3cosx + 2sinx?
The solution to the integral
What is arcsin(x)+c?
When a graph’s y-intercept is 4, and the rotating area is bound by the function, the y-axis, and the x-axis, this number refers to “a” in the Disc-method equation when an area is rotated around the y-axis.
What is “0”?
s(t) = t^4 - 2t^3 + 3t^2 the direction of the particle moving at t = 1 is
What is right?
The main types of discontinuities include jump, removable, oscillating, and ...
What is an infinite discontinuity?
Lim -> 0 = ln(2^x)/6x^3+2x is an example of
What is l'hopitals rule?
This formula is related to the topic...
What is average value?
When looking at the table, a Left Riemann sum with 4 equal steps would not consider the following x- value.
x | 1 | 2 | 3 | 4 | 5 |
y | 2 | 4 | 5 | 4 | 2 |
What is the x-value of 5?
s(t) = 4t^3 - 7t^2 + 10 the acceleration at 3 seconds is
What is 22?
The limit as x approaches 0 of (sin x)/x
What is 1?
For this graph of f(x), its derivative f'(x) hits zero at
What is -1 and 1?
This crucial part of Calculus is applied to solve the derivative of an integral.
What is the Fundamental Theorem of Calculus?
This formula of the Disc-Method is used when an area is rotated around the x-axis to form a solid.
What is “𝝿∫ab R2 dx”?
s(t) = 2 t^3 - 2 t^2 + 4 the total displacement over the first 4 seconds is
What is 96?
The limit as x approaches infinity of (3x4-27x2+378x-1098)/(2x3+14x2-15x4)
What is -1/5?
The second derivative of f(x)=4sin(2x)
What is f′′ =−16sin(2x)?
What is Gottfried Leibniz?
This is the formula for the Washer-Method when finding the volume of a solid rotated around the x-axis.
What is “𝝿∫ab R2- r2 dx”?
If a(t) = 12t - 4 with an initial velocity of -10 and initial position of 0 the position formula is
What is s(t) = 2t^3 - 2t^2 -10t?
The condition necessary for IVT to apply
What is F(x) is a continuous function defined over the closed interval [a, b]?