The derivative of a function multiplied by a constant is equal to the constant times the derivative of the function
$7\frac{d}{dx}\left(e^x\right)$
2
Applying the derivative of the exponential function
$7e^x$
Final answer to the problem
$7e^x$
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The derivative of a function of a real variable measures the sensitivity to change of a quantity (a function value or dependent variable) which is determined by another quantity (the independent variable). Derivatives are a fundamental tool of calculus.