What is the derivative of f(x)=(x^2-3)(x^2-sqrt(2)) ?

The derivative of f(x)=(x^2-3)(x^2-sqrt(2)) is 4x^3-2sqrt(2)x-6x

What is the first derivative of f(x)=(x^2-3)(x^2-sqrt(2)) ?

The first derivative of f(x)=(x^2-3)(x^2-sqrt(2)) is 4x^3-2sqrt(2)x-6x

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derivative of

f (x) = (x^{2} - 3) (x^{2} - 2)

4 x^{3} - 22 x - 6 x

Solution steps

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

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = x^{2} - 3, g = x^{2} - 2

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

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

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

= 2 x (x^{2} - 2) + 2 x (x^{2} - 3)

Simplify

2 x (x^{2} - 2) + 2 x (x^{2} - 3) : 4 x^{3} - 22 x - 6 x

= 4 x^{3} - 22 x - 6 x

g (t) = \frac{3}{4 t ^{6}}

\int (2 x + 3)^{5} d x

\frac{d}{d x} (\frac{7}{x + 9})

\frac{\partial}{\partial x} (e^{- x} cos (π y))

What is the derivative of f(x)=(x^2-3)(x^2-sqrt(2)) ?
The derivative of f(x)=(x^2-3)(x^2-sqrt(2)) is 4x^3-2sqrt(2)x-6x
What is the first derivative of f(x)=(x^2-3)(x^2-sqrt(2)) ?
The first derivative of f(x)=(x^2-3)(x^2-sqrt(2)) is 4x^3-2sqrt(2)x-6x