What is the derivative of (3x^2-6x-sin(x)^4) ?

The derivative of (3x^2-6x-sin(x)^4) is 4(3x^2-6x-sin(x))^3(6x-6-cos(x))

What is the first derivative of (3x^2-6x-sin(x)^4) ?

The first derivative of (3x^2-6x-sin(x)^4) is 4(3x^2-6x-sin(x))^3(6x-6-cos(x))

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\frac{d}{d x} ((3 x^{2} - 6 x - sin (x))^{4})

4 (3 x^{2} - 6 x - sin (x))^{3} (6 x - 6 - cos (x))

Solution steps

\frac{d}{d x} ((3 x^{2} - 6 x - sin (x))^{4})

Apply the chain rule:

4 (3 x^{2} - 6 x - sin (x))^{3} \frac{d}{d x} (3 x^{2} - 6 x - sin (x))

= 4 (3 x^{2} - 6 x - sin (x))^{3} \frac{d}{d x} (3 x^{2} - 6 x - sin (x))

\frac{d}{d x} (3 x^{2} - 6 x - sin (x)) = 6 x - 6 - cos (x)

= 4 (3 x^{2} - 6 x - sin (x))^{3} (6 x - 6 - cos (x))

\int_{x}^{2} 1 d x

\int sin (\frac{2}{x}) d x

\int_{0}^{3} (6 x - x^{2}) d x

\frac{\partial}{\partial x} (x y + 3 x)

(1 + 4 x^{2}) y^{^{'}} = 1

What is the derivative of (3x^2-6x-sin(x)^4) ?
The derivative of (3x^2-6x-sin(x)^4) is 4(3x^2-6x-sin(x))^3(6x-6-cos(x))
What is the first derivative of (3x^2-6x-sin(x)^4) ?
The first derivative of (3x^2-6x-sin(x)^4) is 4(3x^2-6x-sin(x))^3(6x-6-cos(x))