Parametric derivatives and second derivatives: check 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
A curve has \(x=t^2+2\), \(y=t^3+2t\). Consider \(\displaystyle t=1\).
Find the x-coordinate at the stated parameter.
Enter one number or fraction. Keep exact values during your working; use at least six decimal places for an approximate final answer. A calculator may be used.
Parametric derivatives and second derivatives: review variant 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
A curve has \(x=t^2+3\), \(y=t^3+3t\). Consider \(\displaystyle t=2\).
Find the x-coordinate at the stated parameter.
Enter one number or fraction. Keep exact values during your working; use at least six decimal places for an approximate final answer. A calculator may be used.
Parametric derivatives and second derivatives: check 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
A curve has \(x=t^2+3\), \(y=t^3+3t\). Consider \(\displaystyle t=2\).
Find the y-coordinate there.
Enter one number or fraction. Keep exact values during your working; use at least six decimal places for an approximate final answer. A calculator may be used.
Parametric derivatives and second derivatives: review variant 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
A curve has \(x=t^2+4\), \(y=t^3+4t\). Consider \(\displaystyle t=3\).
Find the y-coordinate there.
Enter one number or fraction. Keep exact values during your working; use at least six decimal places for an approximate final answer. A calculator may be used.
Parametric derivatives and second derivatives: check 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
A curve has \(x=t^2+4\), \(y=t^3+4t\). Consider \(\displaystyle t=3\).
Find \(\displaystyle \frac{dy}{dx}\) there.
Enter one number or fraction. Keep exact values during your working; use at least six decimal places for an approximate final answer. A calculator may be used.
Parametric derivatives and second derivatives: review variant 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
A curve has \(x=t^2+5\), \(y=t^3+1t\). Consider \(\displaystyle t=1\).
Find \(\displaystyle \frac{dy}{dx}\) there.
Enter one number or fraction. Keep exact values during your working; use at least six decimal places for an approximate final answer. A calculator may be used.
Parametric derivatives and second derivatives: check 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
A curve has \(x=t^2+5\), \(y=t^3+1t\). Consider \(\displaystyle t=1\).
Find \(\displaystyle \frac{d^{2}y}{dx^{2}}\) there.
Enter one number or fraction. Keep exact values during your working; use at least six decimal places for an approximate final answer. A calculator may be used.
Parametric derivatives and second derivatives: review variant 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
A curve has \(x=t^2+1\), \(y=t^3+2t\). Consider \(\displaystyle t=2\).
Find \(\displaystyle \frac{d^{2}y}{dx^{2}}\) there.
Enter one number or fraction. Keep exact values during your working; use at least six decimal places for an approximate final answer. A calculator may be used.