Derivatives
This is one of the first rules learned in calculus, and involves exponents.
What is the product rule?
This method uses rectangles to approximate the area under a curve.
What is a Riemann sum?
This equation is used to find the cross section of an object with a hole in it (washer method).
What is the integral from a to b of (R)^2 - (r)^2
This type of discontinuity occurs when the function contains a 0 in both the numerator and the denominator when factored.
What is a point discontinuity.
This is the derivative of cosine(x)
What is -sin(x)
This is the derivative of 3x^3+10x^2+x
What is 9x^2+10x+1
This is a way to calculate an integral when the upper and lower limits are wrong instead of doing more work(lower limit on top, upper limit on bottom).
What is put a negative sign in front of the integral?
Using a midpoint approximation with three subintervals to approximate the area under the curve.
f(x)=(x^2+2x)
Enter into Desmos then use table for values.
What is the integral from 0 to 6 of f(x)=53
These are the 3 types of discontinuities
What are jump. infinite, and removable?
This trigonometric function is the derivative of cosecant(x).
What is -csc(x)cot(x)?
What is the derivative of 2x/3x?
What is (3x(2))-(2x(3))/(3x)^2
Using this equations derivative: 4x^3+13x^2-5x+x, find the integral.
What is (4x^4/4)+(13x^3/3)-(5x^2/2)+(x^2/2)+c
This is the equation to find the area between two cruves.
What is the integral of (upper curve-lower curve)dx?
A function fails to be continuous if it has one of these.
What is a corner, cusp, discontinuity, or vertical tangent.
90 degrees is known as this equation on the unit circle.
What is pi/2?
This is the derivative (25x^2+3x)(13x+x)
What is (25x^2+3x)(13+1)+(13x+x)(50x+3)
This is the integral (or anti-derivative) of cosine(x).
What is sin(x)dx+C?
Find the area between the two curves from 0 to 5: x^2+3x and x
What is 66 and 2/3
Find the limit of this equation when x is approaching -3:
-x^3+2x^2-10/x^2+3x
What is -19/-18
This is the derivative of cotangent(x).
What is -cosecant^2(x)?