WorksheetsCalculus Challenge
Total questions: 10
Worksheet time: 5mins
What is the derivative of x^2?
3x
2x
x^2
x^3
What is the integral of 3x^2?
9x^2 + C
x^3 + C
6x + C
3x^3 + C
Find the limit of (x^2 - 1) / (x - 1) as x approaches 1.
2
0
3
4
What is the second derivative of sin(x)?
tan(x)
cos(x)
cot(x)
-sin(x)
Solve the differential equation dy/dx = 2x.
y = 3x
y = 2x^2
y = x^3
y = x^2 + C
What is the area under the curve y = x^2 from x=0 to x=2?
10
8/3
6
4
Find the critical points of the function f(x) = x^3 - 3x^2 + 2.
The critical points are x = 0 and x = 2.
The critical points are x = -1 and x = 3.
The critical points are x = -2 and x = 5.
The critical points are x = 1 and x = 4.
Evaluate the definite integral of 2x from 0 to 4.
16
12
8
20
What is the slope of the tangent line to the curve y = 2x^2 at the point (1, 2)?
1
3
5
4
Solve the equation 3x + 5 = 2x - 3.
x = 5
x = -8
x = -2
x = 0
