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Popular >

derivative of f(x)=(x^4)/4-2x^2-4

Solution

derivative of

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

Solution

x^{3} - 4 x

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

= x^{3} - 4 x - 0

Simplify

= x^{3} - 4 x

Popular Examples

derivative of x^2-2x+4 derivative of

x^{2} - 2 x + 4

derivative of f(x)=4x^{5/4}+6x^{3/2}+3x derivative of

f (x) = 4 x^{\frac{5}{4}} + 6 x^{\frac{3}{2}} + 3 x

y^{''}+12y^'+36y=0,y(1)=0,y^'(1)=1

y^{^{''}} + 12 y^{^{'}} + 36 y = 0, y (1) = 0, y^{^{'}} (1) = 1

derivative of 2^{60}derivative of

2^{60}

y^'=(2xy-y^4)/(3x^2)

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

Frequently Asked Questions (FAQ)

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