Exponential derivatives: check 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
Let \(f(x)=17 x + 2 e^{2 x}\), with real x.
Find f′(0).
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.
Exponential derivatives: review variant 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
Let \(f(x)=18 x + 3 e^{3 x}\), with real x.
Find f′(0).
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.
Exponential derivatives: check 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
Let \(f(x)=18 x + 3 e^{3 x}\), with real x.
Find f″(0).
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.
Exponential derivatives: review variant 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
Let \(f(x)=19 x + 4 e^{x}\), with real x.
Find f″(0).
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.
Exponential derivatives: check 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
Let \(f(x)=19 x + 4 e^{x}\), with real x.
Find f(0).
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.
Exponential derivatives: review variant 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
Let \(f(x)=20 x + 5 e^{2 x}\), with real x.
Find f(0).
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.
Exponential derivatives: check 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
Let \(f(x)=20 x + 5 e^{2 x}\), with real x.
Find \(\displaystyle f'(\frac{\ln 2}{2})\).
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.
Exponential derivatives: review variant 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
Let \(f(x)=21 x + 2 e^{3 x}\), with real x.
Find \(\displaystyle f'(\frac{\ln 2}{3})\).
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.