For Problems 1−18, find dxdy. 1. y=12u−7 and u=3x+1 3. y=10u+1 and u=−x2+3 5. y=3u2+2 and u=5x2+4 7. y=u3−6u and u=5x2−2 9. y=(5x2+2x−6)3 11. y=5(x2+7)3 13. y=(x2+3)3(2x−1)5

`To find the derivative (dy/dx) of the given function y = (x^2 + 3)^2(2x - 1)^5, we'll use the product rule, which states that the de...

Resuelto For Problems 1−18, find dxdy. 1. y=12u−7 and u=3x+1

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Pregunta: For Problems 1−18, find dxdy. 1. y=12u−7 and u=3x+1 3. y=10u+1 and u=−x2+3 5. y=3u2+2 and u=5x2+4 7. y=u3−6u and u=5x2−2 9. y=(5x2+2x−6)3 11. y=5(x2+7)3 13. y=(x2+3)3(2x−1)5
NUMBER 13 PLEASE

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Solución
Paso 1
`To find the derivative $(\frac{d y}{d x})$ of the given function $y = {(x^{2} + 3)}^{2} {(2 x - 1)}^{5},$
Explanation:
we'll use the product rule, which states that the de...
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Paso 2
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Paso 3
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Texto de la transcripción de la imagen:

For Problems

1 - 18

, find

\frac{d y}{d x}

. 1.

y = 12 u - 7

and

u = 3 x + 1

y = 10 u + 1

and

u = - x^{2} + 3

y = 3 u^{2} + 2

and

u = 5 x^{2} + 4

y = u^{3} - 6 u

and

u = 5 x^{2} - 2

y = (5 x^{2} + 2 x - 6)^{3}

11.

y = 5 (x^{2} + 7)^{3}

13.

y = (x^{2} + 3)^{3} (2 x - 1)^{5}