Implicit functions: check 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
The curve \(x^2+1y^2=365\) passes through \((13,14)\).
Find \(\displaystyle \frac{dy}{dx}\) at the point.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Implicit functions: review variant 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
The curve \(x^2+2y^2=646\) passes through \((14,15)\).
Find \(\displaystyle \frac{dy}{dx}\) at the point.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Implicit functions: check 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
The curve \(x^2+2y^2=646\) passes through \((14,15)\).
Find \(\displaystyle \frac{d^{2}y}{dx^{2}}\) at the point.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Implicit functions: review variant 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
The curve \(x^2+3y^2=993\) passes through \((15,16)\).
Find \(\displaystyle \frac{d^{2}y}{dx^{2}}\) at the point.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Implicit functions: check 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
The curve \(x^2+3y^2=993\) passes through \((15,16)\).
Find the tangent y-intercept.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Implicit functions: review variant 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
The curve \(x^2+4y^2=1412\) passes through \((16,17)\).
Find the tangent y-intercept.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Implicit functions: check 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
The curve \(x^2+4y^2=1412\) passes through \((16,17)\).
Find the normal gradient.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Implicit functions: review variant 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
The curve \(x^2+1y^2=613\) passes through \((17,18)\).
Find the normal gradient.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.