Differentiate the Function $$y = x \left( 5 ^ { 2 x } \right)$$

question 36

Multiple Choice

Differentiate the function.
$$y = x \left( 5 ^ { 2 x } \right)$$

• A) \(( 2 \ln 5 ) \left( 5 ^ { 2 x } \right) x\)
• B) \([ 1 + ( 2 \ln 5 ) x ] 5 ^ { 2 x }\)
• C) \([ 1 + ( 5 \ln 2 ) x ] 5 ^ { 2 x }\)
• D) \(( 2 \ln 5 ) 5 ^ { 2 x }\)

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Definitions:

Sigma

A symbol (σ) representing the standard deviation of a population in statistics.

Pooled Standard Deviation

Pooled Standard Deviation is a method to estimate the standard deviation from several different samples having different sizes, assuming they come from the same population.

Sample Means

The average value of a set of observations drawn from a population.

Lower Control Limit

The threshold in a control chart below which the process variation is considered to indicate an out-of-control condition.