How do I find the derivative of $y = 3 x (6 x - 5 x^{2})$ $y=3x(6x-5x^2)$ ?

Question

How do I find the derivative of $y = 3 x (6 x - 5 x^{2})$ $y=3x(6x-5x^2)$ ?

1 Answer

Related questions

What is the Product Rule for derivatives?
How do you apply the product rule repeatedly to find the derivative of $f (x) = (x - 3) (2 - 3 x) (5 - x)$ $f(x) = (x - 3)(2 - 3x)(5 - x)$ ?
How do you use the product rule to find the derivative of $y = x^{2} \cdot sin (x)$ $y=x^2*sin(x)$ ?
How do you use the product rule to differentiate $y = cos (x) \cdot sin (x)$ $y=cos(x)*sin(x)$ ?
How do you apply the product rule repeatedly to find the derivative of $f (x) = (x^{4} + x) \cdot e^{x} \cdot tan (x)$ $f(x) = (x^4 +x)*e^x*tan(x)$ ?
How do you use the product rule to find the derivative of $y = (x^{3} + 2 x) \cdot e^{x}$ $y=(x^3+2x)*e^x$ ?
How do you use the product rule to find the derivative of $y = \sqrt{x} \cdot cos (x)$ $y=sqrt(x)*cos(x)$ ?
How do you use the product rule to find the derivative of $y = (\frac{1}{x^{2}} - \frac{3}{x^{4}}) \cdot (x + 5 x^{3})$ $y=(1/x^2-3/x^4)*(x+5x^3)$ ?
How do you use the product rule to find the derivative of $y = \sqrt{x} \cdot e^{x}$ $y=sqrt(x)*e^x$ ?
How do you use the product rule to find the derivative of $y = x \cdot ln (x)$ $y=x*ln(x)$ ?

Impact of this question

2718 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-03-18T13:33:44

$\frac{d y}{d x} = 36 x - 45 x^{2}$ $dy/dx=36x-45x^2$

Explanation:

$differentiate using the power rule$ $"differentiate using the "color(blue)"power rule"$

$∙ x \frac{d}{d x} (a x^{n}) = n a x^{n - 1}$ $•color(white)(x)d/dx(ax^n)=nax^(n-1)$

$y = 3 x (6 x - 5 x^{2}) = 18 x^{2} - 15 x^{3}$ $y=3x(6x-5x^2)=18x^2-15x^3$

$\Rightarrow \frac{d y}{d x} = 36 x - 45 x^{2}$ $rArrdy/dx=36x-45x^2$

Science

Math

Humanities

... and beyond

How do I find the derivative of $y = 3 x (6 x - 5 x^{2})$ $y=3x(6x-5x^2)$ ?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

How do I find the derivative of y=3x(6x−5x2)y=3x(6x-5x^2)?

1 Answer

Explanation:

Related questions

Impact of this question

How do I find the derivative of $y = 3 x (6 x - 5 x^{2})$ $y=3x(6x-5x^2)$ ?