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Popular >

derivative of f(x)=x^2(1-6x)

Solution

derivative of

f (x) = x^{2} (1 - 6 x)

Solution

2 x - 18 x^{2}

Solution steps

\frac{d}{d x} (x^{2} (1 - 6 x))

Apply the Product Rule:

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

f = x^{2}, g = 1 - 6 x

= \frac{d}{d x} (x^{2}) (1 - 6 x) + \frac{d}{d x} (1 - 6 x) x^{2}

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

\frac{d}{d x} (1 - 6 x) = - 6

= 2 x (1 - 6 x) + (- 6) x^{2}

Simplify

2 x (1 - 6 x) + (- 6) x^{2} : 2 x - 18 x^{2}

= 2 x - 18 x^{2}

Popular Examples

sum from n=0 to infinity of 7(-1/7)^n

n = 0 \sum \infty 7 (- \frac{1}{7})^{n}

(\partial)/(\partial x)(-xsin(y)+e^x)

\frac{\partial}{\partial x} (- x sin (y) + e^{x})

y^{''}-4y^'+2y=0,y(0)=0,y^'(0)=7

y^{^{''}} - 4 y^{^{'}} + 2 y = 0, y (0) = 0, y^{^{'}} (0) = 7

limit as x approaches infinity of 1/8

x \to \infty lim (\frac{1}{8})

tangent of f(x)= 3/(4x+1),(-1,-1)tangent of

f (x) = \frac{3}{4 x + 1}, (- 1, - 1)

Frequently Asked Questions (FAQ)

What is the derivative of f(x)=x^2(1-6x) ?
The derivative of f(x)=x^2(1-6x) is 2x-18x^2
What is the first derivative of f(x)=x^2(1-6x) ?
The first derivative of f(x)=x^2(1-6x) is 2x-18x^2