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Popular >

simplify d(e^{5x}*e^{17x})

Solution

simplify

d (e^{5 x} \cdot e^{17 x})

Solution

e^{22 x} d

Solution steps

d (e^{5 x} e^{17 x})

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

e^{5 x} e^{17 x} = e^{5 x + 17 x}

= d e^{5 x + 17 x}

Add similar elements:

5 x + 17 x = 22 x

= d e^{22 x}

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Frequently Asked Questions (FAQ)

What is d(e^{5x}*e^{17x}) ?
The solution to d(e^{5x}*e^{17x}) is e^{22x}d