Derivatives
The derivative of y = 3x2 - 4
What is dy/dx = 6x
The slope of the tangent line of y = 5x2 - 4x at x = 1.
What is 6
The slope of the curve is found using
What is the first derivative?
The simplified first derivative of g(x)=(x2-4x)(x3+1)
What is g'(x) = 5x4-16x3+2x-4
The first derivative of f(x)=(x2+1)1/2
What is f'(x)=x/(x2+1)1/2
The first derivative of y = sqrt(x)
What is y' = 1/ (2sqrt(x) )
The equation of the tangent line to y = 2x3 - 6
What is y - 10 = 24(x-2)
The rule used to find the derivative for a function of a function
what is the chain rule
The simplified first derivative of f(x)=(6x2+x-8)(x2+x-2)
What is f'(x)= 4x3+6x2-18x-10
The slope of the tangent to f(x)=5/(2x-x2)1/3 at x=1
what is 0
The second derivative of y = 6x4 - 1/2 x2 - 10
What is y' = 72x2 - 1
The coordinates of the points on the graph of f(x)=x3-7x where the slope of the tangent is 5
What is (2,-6) and (-2, 6)
The names of the two European men given credit for discovering/inventing calculus at the same time, in different places.
The first derivative of h(x)=(x2-1)/(x3-8)
what is h'(x) = (x4-3x2+16x)/(x3-8)2
The equation of the tangent to y=(x3-4x2)3 at x=3
What is y=729x-2196
The second derivative of y=3/(x1/3)
What is y=4/(3x7/3)
The values of a and b for f(x)=ax3+bx2+3x-2 given that f(2)=10 and f'(-1)=14
what is 2 and -5/2
The number of times you can derive f(x)=xn
What is n+1
The second derivative of f(x)=(x2+1)1/2
What is f''(x)=1/(x2+1)(3/2)
My Birthday
what is December 5
The acceleration of a falling rock with height
h(t)=-4.9t2+3t+20 at t=2 seconds
what is -9.8 m/s2
A yogurt company estimates that the revenue from selling x containers of yogurt is 4.5x, and the cost for producing x containers is C(x)=0.0001x2+2x+3200.
The marginal profit from selling 4000 containers of yogurt and the significance of this number:
What is $2.80 and "the increase in profit as the company moves from selling its 4000th container to its 4001st container. NOT the profit from the 4000th container.
The condition for an object to be slowing down
What is a(t) x v(t) < 0
The points on the curve y=(x2)/(2x+5) where the tangent line is horizontal
What are (0,0) and (-5,-5)