What is the derivative of (x^3-16x^{10}) ?

The derivative of (x^3-16x^{10}) is 10(x^3-16x)^9(3x^2-16)

What is the first derivative of (x^3-16x^{10}) ?

The first derivative of (x^3-16x^{10}) is 10(x^3-16x)^9(3x^2-16)

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\frac{d}{d x} ((x^{3} - 16 x)^{10})

10 (x^{3} - 16 x)^{9} (3 x^{2} - 16)

Solution steps

\frac{d}{d x} ((x^{3} - 16 x)^{10})

Apply the chain rule:

10 (x^{3} - 16 x)^{9} \frac{d}{d x} (x^{3} - 16 x)

= 10 (x^{3} - 16 x)^{9} \frac{d}{d x} (x^{3} - 16 x)

\frac{d}{d x} (x^{3} - 16 x) = 3 x^{2} - 16

= 10 (x^{3} - 16 x)^{9} (3 x^{2} - 16)

\frac{d}{d t} (1 + t)

\frac{d y}{d t} = 2 t + y + 1

\int_{0}^{2 π} 2 x d x

y = x (x^{3} + 7)^{4}

\frac{\partial}{\partial x} (\frac{1}{2 x + 1})

What is the derivative of (x^3-16x^{10}) ?
The derivative of (x^3-16x^{10}) is 10(x^3-16x)^9(3x^2-16)
What is the first derivative of (x^3-16x^{10}) ?
The first derivative of (x^3-16x^{10}) is 10(x^3-16x)^9(3x^2-16)