Find dx if y=e²x⁹ 1) dy=9e² dx 2) dy dx 3) dy=2x²e²r³-1 dx 12,9 4) dy=18x³ In (2⁹ dx 5) dy=18x³²x⁹ dx

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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**Exercise: Differentiation**

Find \(\frac{dy}{dx}\) if \( y = e^{2x^9} \).

1) \(\frac{dy}{dx} = 9e^{2x}\)
   
2) \(\frac{dy}{dx} = e^{2x^9}\)

3) \(\frac{dy}{dx} = 2x^9 e^{2x^9-1}\)

4) \(\frac{dy}{dx} = 18x^8 \ln(2^9)\)

5) \(\frac{dy}{dx} = 18x^8 e^{2x^9}\)
Transcribed Image Text:**Exercise: Differentiation** Find \(\frac{dy}{dx}\) if \( y = e^{2x^9} \). 1) \(\frac{dy}{dx} = 9e^{2x}\) 2) \(\frac{dy}{dx} = e^{2x^9}\) 3) \(\frac{dy}{dx} = 2x^9 e^{2x^9-1}\) 4) \(\frac{dy}{dx} = 18x^8 \ln(2^9)\) 5) \(\frac{dy}{dx} = 18x^8 e^{2x^9}\)
Expert Solution
Step 1

Topic- Derivative of a function

We are giveny=e2x9and we know thatddxef(x)=ef(x)f'(x)ddxx9=9x8

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