How would you solve? 5. Find dy by implicit diff.dy ?A7₁ Sin (x ³) = 5x Sin (4²)

7ysin(x2)=5xsin(y2)d dx(sinx)=cosxddx(xn)=nxn-1d dx(a.b)=a×dbdb+b×dadx

Answered: 5. Find dy by implicit diffe ? dy = ?…

Math

Calculus

5. Find dy by implicit diffe ? dy = ? 7y Sin (x²) = Sx Sin (4²)

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter6: Applications Of The Derivative

Section6.3: Implicit Differentiation

Problem 8E

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Question

How would you solve?

5. Find dy by implicit diff.
dy ?
A
7₁ Sin (x ³) = 5x Sin (4²)

Expert Solution

Step 1

$7 y \sin (x^{2}) = 5 x \sin (y^{2}) \frac{d}{d x} (\sin x) = \cos x \frac{d}{d x} (x^{n}) = n x^{n - 1} \frac{d}{d x} (a . b) = a \times \frac{d b}{d b} + b \times \frac{d a}{d x}$

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