Question

10. Find the derivative of the following functions: a) y = (3x² + 2x)² (x³ + x²³) b) y = x² sin 2x + frac{1}{e^{5x}}

          10. Find the derivative of the following functions:
a) y = (3x² + 2x)² (x³ + x²³)
b) y = x² sin 2x + frac{1}{e^{5x}}

$10. Find the derivative of the following functions: a) y = (3x² + 2x)² (x³ + x²³) b) y = x² sin 2x + frac1e^5x$

Added by Christine B.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Oswaldo Jiménez

Step 1

#### Product Rule: The product rule states that if $ y = u \cdot v $, then $ y' = u' \cdot v + u \cdot v' $. Here, let: \[ u = (3x^2 + 2x)^2 \] \[ v = (x^3 + x^{23}) \] #### Chain Rule: The chain rule states that if $ y = f(g(x)) $, then \( y' = f'(g(x)) Show more…

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