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Popular >

derivative of x,x^2,x^3

Solution

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

Solution

(,, (1 \cdot x^{2} x^{3} + 5 x^{4} x))

Solution steps

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

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the Product Rule:

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

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

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

\frac{d x}{d x} = 1

\frac{d}{d x} (x^{2} x^{3}) = 5 x^{4}

= (,, (1 \cdot x^{2} x^{3} + 5 x^{4} x))

Graph

Popular Examples

derivative of 1/(sqrt(a^2+x^2))

\frac{d}{d x} (\frac{1}{a ^{2} + x ^{2}})

derivative of sin^2(x/(x+1))

\frac{d}{d x} (sin^{2} (\frac{x}{x + 1}))

integral of (x+4)^2

\int (x + 4)^{2} d x

limit as x approaches 7 of (x-7)/(3x^2-21x)

x \to 7 lim (\frac{x - 7}{3 x ^{2} - 21 x})

(\partial)/(\partial x)(ln(x)+zln(y))

\frac{\partial}{\partial x} (ln (x) + z ln (y))

Frequently Asked Questions (FAQ)

What is the derivative of x,x^2,x^3 ?
The derivative of x,x^2,x^3 is (,,(1*x^2x^3+5x^4x))
What is the first derivative of x,x^2,x^3 ?
The first derivative of x,x^2,x^3 is (,,(1*x^2x^3+5x^4x))