Ex 3.7.3: Differentiate each equation. 2x a) y = e²x (2x - 7)5

Calculus: Early Transcendentals
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Chapter1: Functions And Models
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Use chain rule and differentiate
Ex 3.7.3: Differentiate each equation.
a) y = e² (2x - 7)5
Transcribed Image Text:Ex 3.7.3: Differentiate each equation. a) y = e² (2x - 7)5
Expert Solution
Step 1: Given function

Given Function for differentiation is given as follows 

y space equals space e to the power of 2 x end exponent left parenthesis space 2 x space minus space 7 space right parenthesis to the power of 5

Chain Rule formula is given as follows 

fraction numerator d blank over denominator d x end fraction left parenthesis space u. v space right parenthesis space equals space u fraction numerator d v over denominator d x end fraction space plus space v fraction numerator d u over denominator d x end fraction

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