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

The derivative of (x+y^3) is 3(x+y)^2(1+(dy)/(dx))

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

The first derivative of (x+y^3) is 3(x+y)^2(1+(dy)/(dx))

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\frac{d}{d x} ((x + y)^{3})

3 (x + y)^{2} (1 + \frac{d y}{d x})

Solution steps

\frac{d}{d x} ((x + y)^{3})

Apply the chain rule:

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

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

\frac{d}{d x} (x + y) = 1 + \frac{d y}{d x}

= 3 (x + y)^{2} (1 + \frac{d y}{d x})

\frac{d}{d x} ((x^{3} - 8)^{\frac{2}{3}})

2 - 6 x

x \to 2 + lim (x^{2} - 1)

\frac{d}{d x} (sin^{2} (3 x + 1))

x \to 3 lim ((x - 3) ln (x - 3))

What is the derivative of (x+y^3) ?
The derivative of (x+y^3) is 3(x+y)^2(1+(dy)/(dx))
What is the first derivative of (x+y^3) ?
The first derivative of (x+y^3) is 3(x+y)^2(1+(dy)/(dx))