Exponential derivatives · Short practice

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Recall

Exponential derivatives — objective 1

Maths4U Original · Short practice

Let \(f(x)=18 x + 3 e^{3 x}\), with real x.

Find f′(0).

Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.

Fresh review variant

Exponential derivatives — objective 1

Maths4U Original · Short practice

Let \(f(x)=19 x + 4 e^{x}\), with real x.

Find f′(0).

Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.

Method

Exponential derivatives — objective 2

Maths4U Original · Short practice

Let \(f(x)=19 x + 4 e^{x}\), with real x.

Find f″(0).

Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.

Fresh review variant

Exponential derivatives — objective 2

Maths4U Original · Short practice

Let \(f(x)=20 x + 5 e^{2 x}\), with real x.

Find f″(0).

Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.

Apply

Exponential derivatives — objective 3

Maths4U Original · Short practice

Let \(f(x)=20 x + 5 e^{2 x}\), with real x.

Find f(0).

Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.

Fresh review variant

Exponential derivatives — objective 3

Maths4U Original · Short practice

Let \(f(x)=21 x + 2 e^{3 x}\), with real x.

Find f(0).

Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.

Check understanding

Exponential derivatives — objective 4

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 exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.

Fresh review variant

Exponential derivatives — objective 4

Maths4U Original · Short practice

Let \(f(x)=22 x + 3 e^{x}\), with real x.

Find \(\displaystyle f'(\frac{\ln 2}{1})\).

Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.

Try written exam-style problems →