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Derivatives

Concept Quizzes

Derivatives Warmup
Derivative by First Principle
Linear Functions
Polynomials
Rational Functions
Exponential Functions
Logarithmic Functions
Trigonometric Functions
Instantaneous Rate of Change
Graphical Interpretation
Discrete First Derivatives

Challenge Quizzes

Level 2

Derivatives of Exponential Functions

What is the derivative of the function \(y=4e^x?\)

\( 4e^x \) \( 4e \) \( 4 \) \( e^x \)

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by Brilliant Staff

What is the derivative of the function \(y=e^{3x}?\)

\[ 3e^{3} \] \[ e^{3x} \] \[ 3e^x \] \[ 3e^{3x} \]

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by Brilliant Staff

What is the derivative of the function \(y=3^{x}?\)

\[ 3^x \] \[ 3^x\ln{3} \] \[ x\cdot 3^{x-1} \] \[ e^x\ln{3} \]

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by Brilliant Staff

What is the derivative of the function \(y=6^{2x}?\)

\[ 2\cdot 6^{2x}\ln{6} \] \[ 6^{2x}\ln{6} \] \[ 2x \cdot 6^{2x-1} \] \[ 12^{2x}\ln{6} \]

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by Brilliant Staff

What is the derivative of the function \[y=x^{3}+9e^x?\]

\( 3x^2+9e^{x-1} \) \( 3x^2+e^x \) \( 3x^3+9e^x \) \( 3x^2+9e^x \)

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by Brilliant Staff

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