Tangents, normals and the zero-gradient case: check 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
Find the gradient of the tangent to \(y=x^2+1\) at \(x=3\).Enter one number or fraction. Round decimals to at least six decimal places when needed.
Tangents, normals and the zero-gradient case: check 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
Find the gradient of the normal to \(y=x^2+1\) at \(x=3\).Enter one number or fraction. Round decimals to at least six decimal places when needed.
Tangents, normals and the zero-gradient case: check 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
The tangent to \(y=x^2\) at \(x=2\) has equation \(y=4x+c\). Find \(c\).Enter one number or fraction. Round decimals to at least six decimal places when needed.
Tangents, normals and the zero-gradient case: check 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
What is the normal to \(y=x^2\) at its vertex?Choose one answer.
Tangents, normals and the zero-gradient case: review variant 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
Find the tangent gradient to \(y=x^2+3\) at \(\displaystyle x=5\).Enter one number or fraction. Round decimals to at least six decimal places when needed.
Tangents, normals and the zero-gradient case: review variant 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
Find the normal gradient to \(y=x^2+1\) at \(\displaystyle x=2\).Enter one number or fraction. Round decimals to at least six decimal places when needed.
Tangents, normals and the zero-gradient case: review variant 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
The tangent to \(y=x^2\) at \(\displaystyle x=3\) is \(y=6x+c\). Find c.Enter one number or fraction. Round decimals to at least six decimal places when needed.
Tangents, normals and the zero-gradient case: review variant 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
The normal at the vertex of \(y=(x-4)^2+2\) is \(x=k\). Find k.Enter one number or fraction. Round decimals to at least six decimal places when needed.