What is the derivative of (y^3+7)^6 ?

The derivative of (y^3+7)^6 is 18y^2(y^3+7)^5

What is the first derivative of (y^3+7)^6 ?

The first derivative of (y^3+7)^6 is 18y^2(y^3+7)^5

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derivative of

(y^{3} + 7)^{6}

18 y^{2} (y^{3} + 7)^{5}

Solution steps

\frac{d}{d y} ((y^{3} + 7)^{6})

Apply the chain rule:

6 (y^{3} + 7)^{5} \frac{d}{d y} (y^{3} + 7)

= 6 (y^{3} + 7)^{5} \frac{d}{d y} (y^{3} + 7)

\frac{d}{d y} (y^{3} + 7) = 3 y^{2}

= 6 (y^{3} + 7)^{5} \cdot 3 y^{2}

Simplify

= 18 y^{2} (y^{3} + 7)^{5}

y = 9 + 8 x + 5 x e^{x}

\int 6 - ∣ x ∣ d x

y = - x^{2} + 16, y = \frac{- 1}{4} x - 1, y = x - 6.6

y = \frac{7 x ^{2} + 5}{x ^{2} + 9}

f (x) = x e^{x}

What is the derivative of (y^3+7)^6 ?
The derivative of (y^3+7)^6 is 18y^2(y^3+7)^5
What is the first derivative of (y^3+7)^6 ?
The first derivative of (y^3+7)^6 is 18y^2(y^3+7)^5