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When a function can be written as the sum of two or more functions, the derivati

ID: 2885317 • Letter: W

Question

When a function can be written as the sum of two or more functions, the derivative can be found by adding together the derivatives of each of the component functions.

      [ Choose ]            Constant Rule            Natural Log Rule            Constant Multiplier Rule            Power Rule            e^x Rule            Sum Rule            Exponential Rule            Difference Rule      

The derivative of this function is the function itself.

      [ Choose ]            Constant Rule            Natural Log Rule            Constant Multiplier Rule            Power Rule            e^x Rule            Sum Rule            Exponential Rule            Difference Rule      

If a function can be written as the difference of two other functions, the derivative is found by writing the difference of the two individual functions.

      [ Choose ]            Constant Rule            Natural Log Rule            Constant Multiplier Rule            Power Rule            e^x Rule            Sum Rule            Exponential Rule            Difference Rule      

To find the derivative, multiply by the exponent of the variable and reduce the exponent by one.

      [ Choose ]            Constant Rule            Natural Log Rule            Constant Multiplier Rule            Power Rule            e^x Rule            Sum Rule            Exponential Rule            Difference Rule      

Use the reciprocal of the input variable as the derivative.

      [ Choose ]            Constant Rule            Natural Log Rule            Constant Multiplier Rule            Power Rule            e^x Rule            Sum Rule            Exponential Rule            Difference Rule      

When a function is multiplied by a constant, take the derivative of the function, then multiply by the constant.

      [ Choose ]            Constant Rule            Natural Log Rule            Constant Multiplier Rule            Power Rule            e^x Rule            Sum Rule            Exponential Rule            Difference Rule      

The derivative is always zero.

      [ Choose ]            Constant Rule            Natural Log Rule            Constant Multiplier Rule            Power Rule            e^x Rule            Sum Rule            Exponential Rule            Difference Rule      

Multiply the function by the natural logarithm of the base.

      [ Choose ]            Constant Rule            Natural Log Rule            Constant Multiplier Rule            Power Rule            e^x Rule            Sum Rule            Exponential Rule            Difference Rule      

Explanation / Answer

When a function can be written as the sum of two or more functions, the derivative can be found by adding together the derivatives of each of the component functions.

Answer : Sum Rule

The derivative of this function is the function itself.

Answer: e^x Rule

If a function can be written as the difference of two other functions, the derivative is found by writing the difference of the two individual functions.

Answer: Difference Rule

To find the derivative, multiply by the exponent of the variable and reduce the exponent by one.

Answer: Power Rule

Use the reciprocal of the input variable as the derivative.

Answer:Natural Log Rule

When a function is multiplied by a constant, take the derivative of the function, then multiply by the constant.

Answer: Constant Multiplier Rule

The derivative is always zero.

Answer: Constant Rule

Multiply the function by the natural logarithm of the base.

Answer:  Exponential Rule

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