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

question 144

Multiple Choice

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

• 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:

Alpha Helices

A common structural motif in proteins where the polypeptide chain forms a coiled structure stabilized by hydrogen bonds between backbone atoms.

Protein Structure

The three-dimensional arrangement of atoms in an amino acid-chain molecule. Proteins have a complex structure, including primary, secondary, tertiary, and quaternary formations, that determines their function in biological systems.

Disaccharide Molecule

A sugar (carbohydrate) composed of two monosaccharides bonded together, example includes sucrose.

Glucose Molecules

Simple sugar molecules that are an important energy source in living organisms and a component of many carbohydrates.