Froggy Jumps
Limits & Differentiation Limits of Functions IV Lowersixth Science MathematicsOnline version
Challenge on ln/log, inverse trig, and parametric topics.
1
What is the relationship between natural log and common log bases?
2
Derivative of arcsin(x) with respect to x is:
3
Derivative of arctan(x) is:
4
If y = arcsin(x), dy/dx equals:
5
If y = arctan(x), dy/dx equals:
6
Parametric to cartesian conversion uses:
7
For x = r(t) cos t and y = r(t) sin t, the Cartesian equation is:
8
If a curve is given parametrically by x(t), y(t), the slope dy/dx is:
9
Graph of a parametric curve is traced by:
10
Second derivative with respect to x for parametric y(t) is:
11
If x = t^2, y = t^3, dy/dx at t=2 is:
12
Differentiating y where y = f(x(t)) w.r.t t uses:
13
Second derivative for y(t) with x(t) uses:
14
If x = t cos t, y = t sin t, dy/dx is:
15
If r is constant in parametric form x = r cos t, y = r sin t, the curve is:
16
What is dy/dx when x = t^2, y = t^3?
17
If f is differentiable, derivative of ln f(x) is:
18
Derivative of log_b(x) equals:
19
If y = e^(ax), dy/dx is:
20
Second derivative of parametric y = y(t) with x = x(t) is:
21
If x(t)=t, y(t)=t^2, dy/dx at t is:
22
Parametric graph y=f(x) where x=t^2, y=t, the slope is:
23
What does eliminating t in parametric equations yield?
24
To differentiate a function defined parametrically, you must:
25
Derivative of arccos(x) is:
26
If x = t^2, y = e^t, dy/dx at t is:
27
What is dy/dx for parametric y = sin t, x = cos t?
28
If f(x) is differentiable, derivative of ln f(x) is:
29
For a parametric curve, d^2y/dx^2 can be undefined when:
30
Derivative of log base e is:
31
When t increases, a circle x = r cos t, y = r sin t traces:
32
If y = arctan(2x), dy/dx equals:
33
Parametric to cartesian conversion eliminates:
34
Second derivative in parametrics helps to determine:
35
d/dx [ln(x^2)] equals:
36
If x=t^3, y=t^4, dy/dx at t=1 is:
37
When differentiating inverse trig, d/dx arcsin(x) is:
38
Logarithm change of base formula is:
39
dy/dx for parametric y = x^2, x = t is:
40
Graph of y=t^2, x=t is a:
41
If dy/dx is infinite, dx/dt =
42
d/dx [log10(x)] equals:
43
Arc length of a parametric curve uses:
44
If x=t^2, y=sin t, dy/dx at t=π/2 is:
45
Differentiating arccos(x) gives:
46
Parametric curve slope at t: dy/dx = ?
47
If r is function of t, x = r(t) cos t, y = r(t) sin t, dy/dx at t uses:
48
d^2y/dx^2 for y = f(x) straight-line is:
49
If ln f(x) is differentiated, result is:
50
What is the derivative of arcsin(x) at x=0?
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