What is the derivative of x^4-5x^2+4 ?

The derivative of x^4-5x^2+4 is 4x^3-10x

What is the first derivative of x^4-5x^2+4 ?

The first derivative of x^4-5x^2+4 is 4x^3-10x

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\frac{d}{d x} (x^{4} - 5 x^{2} + 4)

4 x^{3} - 10 x

Solution steps

\frac{d}{d x} (x^{4} - 5 x^{2} + 4)

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (x^{4}) - \frac{d}{d x} (5 x^{2}) + \frac{d}{d x} (4)

\frac{d}{d x} (x^{4}) = 4 x^{3}

\frac{d}{d x} (5 x^{2}) = 10 x

\frac{d}{d x} (4) = 0

= 4 x^{3} - 10 x + 0

Simplify

= 4 x^{3} - 10 x

y = \frac{4}{( 4 - x ^{4} ) ^{\frac{3}{2}}}

\int_{0}^{\frac{π}{2}} 9 (cos (x))^{2} d x

\frac{d}{d x} (x^{3} + 3 x^{2} - 24 x)

\int 9.8 t d t

4 x + 4, 4 x - 16, [- 1, 5.25]

What is the derivative of x^4-5x^2+4 ?
The derivative of x^4-5x^2+4 is 4x^3-10x
What is the first derivative of x^4-5x^2+4 ?
The first derivative of x^4-5x^2+4 is 4x^3-10x