The gradient function and power rule: check 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
Let \(f(x)=4 x^{2} + 4 x + 19\), with real x.
Find f′(1).
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
The gradient function and power rule: review variant 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
Let \(f(x)=5 x^{3} + 5 x + 20\), with real x.
Find f′(1).
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
The gradient function and power rule: check 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
Let \(f(x)=5 x^{3} + 5 x + 20\), with real x.
Find f″(1).
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
The gradient function and power rule: review variant 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
Let \(f(x)=2 x^{4} + x + 21\), with real x.
Find f″(1).
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
The gradient function and power rule: check 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
Let \(f(x)=2 x^{4} + x + 21\), with real x.
Find f(1).
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
The gradient function and power rule: review variant 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
Let \(f(x)=3 x^{2} + 2 x + 22\), with real x.
Find f(1).
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
The gradient function and power rule: check 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
Let \(f(x)=3 x^{2} + 2 x + 22\), with real x.
Find the y-intercept of the tangent at \(\displaystyle x=1\).
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
The gradient function and power rule: review variant 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
Let \(f(x)=4 x^{3} + 3 x + 23\), with real x.
Find the y-intercept of the tangent at \(\displaystyle x=1\).
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.