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Slopes
Critical Points
Tangent Lines
Random Math Questions
Useful Tricks for Calculus
100
What is the slope of the curve y^2-xy=4 where y=2?
1/2
100
What are the critical points of the function y=4x^3+12x-36x
-3,1
100
What is the equation of the tangent line given: x^2-y^2=12 at the point (4,2)
y=2x-6 OR y-2=2(x-4)
100
When is the function 5x-x^2 increasing?
(-∞,2.5]
100
Take the derivative: sinx+cosx
cosx-sinx
200
What is the slope of the curve y^2-xy-3x=1 at the poiny (0,-1)?
-1
200
Find the critical points: y=.25x^4-x^3-4.5x^2-27x
-3,3
200
What is the equation of the tangent line given 4x^2-3y=7 and x=1.5
y-.67=4(x-1.5)
200
When is the function 5x-x^2 decreasing?
[2.5,∞)
200
What is f(x) if given f'(x)=4x^3-6x+1
x^4-3x^2+x+C
300
What is the slope of the equation 2x-3y=4
2/3
300
Find the critical points: y=x^2+3x+7
-1.5
300
What is the equation of the tangent given: 2xy-y^2=4 and the point (2,1)
y-1=-(x-2)
300
What are the critical points of the function y=8x^2-16x-1?
1
300
Take the derivative: lnx^2
2x/x^2
400
What is the equation of the tangent to the curve y=xsinx at the point (π/2,π/2)
y=x
400
Find the critical points: y=4x^3-12x^2-36x
3,-1
400
What is the equation of the tangent given: lnx-y=7 and x=1
y+7=x-1
400
What are the critical points of the function y=x^4-8x^2
-4,0,4
500
Find the slope of the tangent of the curve xy-3x+y=1 at the point (1,1)
2
500
Find the critical points: x^3-3x^2-9x
-1,3
500
What is the equation of the tangent given: sinx-cosy=3 and the point (2pi,pi/6)
y-π/6=-2(x-2π)
500
What is the average rate of change given the points (1,4) and (5,8)?
1