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Popular >

derivative of 1/8 x^8-x^4

Solution

\frac{d}{d x} (\frac{1}{8} x^{8} - x^{4})

Solution

x^{7} - 4 x^{3}

Solution steps

\frac{d}{d x} (\frac{1}{8} x^{8} - x^{4})

Simplify

\frac{1}{8} x^{8} - x^{4} : \frac{x ^{8}}{8} - x^{4}

= \frac{d}{d x} (\frac{x ^{8}}{8} - x^{4})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{x ^{8}}{8}) - \frac{d}{d x} (x^{4})

\frac{d}{d x} (\frac{x ^{8}}{8}) = x^{7}

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

= x^{7} - 4 x^{3}

Popular Examples

derivative of ln(x^2-4x)derivative of

ln (x^{2} - 4 x)

(arcsin((2x)/(1+x^2)))^'

(arcsin (\frac{2 x}{1 + x ^{2}}))^{^{'}}

derivative of x^4+x^3+2 derivative of

x^{4} + x^{3} + 2

(\partial)/(\partial x)(sin(y)cos(x))

\frac{\partial}{\partial x} (sin (y) cos (x))

tangent of-8x^2+5 tangent of

- 8 x^{2} + 5

Frequently Asked Questions (FAQ)

What is the derivative of 1/8 x^8-x^4 ?
The derivative of 1/8 x^8-x^4 is x^7-4x^3
What is the first derivative of 1/8 x^8-x^4 ?
The first derivative of 1/8 x^8-x^4 is x^7-4x^3