Hyperbolic and inverse functions: check 1
Difficulty: ★★☆Maths4U Original · Short practice
Near x=0, let \(f(x)=13 \log{\left(x + 2 \right)} + \operatorname{asinh}{\left(11 x \right)}\). All derivatives below are evaluated at x=0.
Find f′(0).
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Hyperbolic and inverse functions: review variant 1
Difficulty: ★★☆Maths4U Original · Short practice
Near x=0, let \(f(x)=14 \log{\left(x + 2 \right)} + \operatorname{asinh}{\left(12 x \right)}\). All derivatives below are evaluated at x=0.
Find f′(0).
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Hyperbolic and inverse functions: check 2
Difficulty: ★★☆Maths4U Original · Short practice
Near x=0, let \(f(x)=14 \log{\left(x + 2 \right)} + \operatorname{asinh}{\left(12 x \right)}\). All derivatives below are evaluated at x=0.
Find f″(0).
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Hyperbolic and inverse functions: review variant 2
Difficulty: ★★☆Maths4U Original · Short practice
Near x=0, let \(f(x)=15 \log{\left(x + 2 \right)} + \operatorname{asinh}{\left(13 x \right)}\). All derivatives below are evaluated at x=0.
Find f″(0).
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Hyperbolic and inverse functions: check 3
Difficulty: ★★☆Maths4U Original · Short practice
Near x=0, let \(f(x)=15 \log{\left(x + 2 \right)} + \operatorname{asinh}{\left(13 x \right)}\). All derivatives below are evaluated at x=0.
Find f‴(0).
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Hyperbolic and inverse functions: review variant 3
Difficulty: ★★☆Maths4U Original · Short practice
Near x=0, let \(f(x)=16 \log{\left(x + 2 \right)} + \operatorname{asinh}{\left(14 x \right)}\). All derivatives below are evaluated at x=0.
Find f‴(0).
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Hyperbolic and inverse functions: check 4
Difficulty: ★★☆Maths4U Original · Short practice
Near x=0, let \(f(x)=16 \log{\left(x + 2 \right)} + \operatorname{asinh}{\left(14 x \right)}\). All derivatives below are evaluated at x=0.
Find f⁽⁴⁾(0).
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Hyperbolic and inverse functions: review variant 4
Difficulty: ★★☆Maths4U Original · Short practice
Near x=0, let \(f(x)=17 \log{\left(x + 2 \right)} + \operatorname{asinh}{\left(15 x \right)}\). All derivatives below are evaluated at x=0.
Find f⁽⁴⁾(0).
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.