Terms/Definitions
Theorems
People
Problem-solving
Q&A
100
A function which gives the slope of a curve; that is, the slope of the line tangent to a function.
What is derivative?
100
∫x^n dx = nx^(n-1) + C; n ≠ -1
What is Power Rule for integration?
100
He first introduced the symbol dy/dx in calculus.
Who is Leibniz?
100
g'(x)/g(x)
What is d/dx [ln(gx)]?
100
The derivative of ∫ f'(x)
What is f(x)?
200
The Study of Change
What is Calculus?
200
d/dx u^a=au^(a-1)
What is power rule for differentiation?
200
The first person to formulate explicitly the ideas of limits and derivatives in the 1660s.
Who is Sir Isaac Newton?
200
f'(x) when f(x)=square root of ln (x)
What is 1/[2x*square root of (ln x)]?
200
The domain of the exponential function is ________ than the domain of the logarithmic function.
What is bigger?
300
Log with Base e.
What is Natural Log? or What is LN?
300
d/dx (lnx)=1/x
What is derivative of natural log?
300
James Stewart.
Who is the author of our calculus book?
300
Derivative of sin (ln x).
What is cos(lnx)/x?
300
The value of e is in between these two integers.
What is 2 and 3?
400
An anti-derivative evaluated over an interval.
What is a definite integral?
400
Lim (1+x)^(1/x) as x approaches 0.
What is e?
400
He introduced logarithms in the early 17th century.
Who is John Napier?
400
Derivative of x to the power of square root of x.
What is x^√(x) * (2+ln x)/(2√x)?
400
Derivative for ln x^2
What is 2/x?
500
The_______ of a number x with respect to base b is the exponent to which b has to be raised to yield x.
What is Logarithm?
500
Lim of (f(x+∆x)-f(x))/( ∆x) as ∆x approaches zero.
What is derivative?
500
He introduced the letter e for the base of LN.
Who is Leonhard Euler?
500
∫x/(x^2+1)dx
What is ½ ln |x^2+1| + C? or What is Ln√(x^2+1) + C?
500
Daily Double!!!
What is $536.49?
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