What is the derivative of sqrt(x)(1-9x^3) ?

The derivative of sqrt(x)(1-9x^3) is (1-63x^3)/(2sqrt(x))

What is the first derivative of sqrt(x)(1-9x^3) ?

The first derivative of sqrt(x)(1-9x^3) is (1-63x^3)/(2sqrt(x))

Popular >

derivative of

x (1 - 9 x^{3})

\frac{1 - 63 x ^{3}}{2 x}

Solution steps

\frac{d}{d x} (x (1 - 9 x^{3}))

Apply the Product Rule:

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

f = x, g = 1 - 9 x^{3}

= \frac{d}{d x} (x) (1 - 9 x^{3}) + \frac{d}{d x} (1 - 9 x^{3}) x

\frac{d}{d x} (x) = \frac{1}{2 x}

\frac{d}{d x} (1 - 9 x^{3}) = - 27 x^{2}

= \frac{1}{2 x} (1 - 9 x^{3}) + (- 27 x^{2}) x

Simplify

\frac{1}{2 x} (1 - 9 x^{3}) + (- 27 x^{2}) x : \frac{1 - 63 x ^{3}}{2 x}

= \frac{1 - 63 x ^{3}}{2 x}

x \to 2 + lim (2 x + 2 + x)

\int \frac{x ^{3}}{( x + 1 )} d x

\int e^{- 0.6 x} d x

y = 9 x^{2} + 3 x - 9

- \frac{y ^{2}}{t ^{2}} d t + \frac{2 y}{t} d y = 0

What is the derivative of sqrt(x)(1-9x^3) ?
The derivative of sqrt(x)(1-9x^3) is (1-63x^3)/(2sqrt(x))
What is the first derivative of sqrt(x)(1-9x^3) ?
The first derivative of sqrt(x)(1-9x^3) is (1-63x^3)/(2sqrt(x))