Differentiate f(y) = 1y² - 9y⁴ (y + 3y³).

We will differentiate the given question w.r.t. y and reduce it into the simplest form.

Answer: After differentating f(y) = 1y² - 9y⁴ (y + 3y³) we get y[2 - 45y³ - 189y⁵]

Let's differentiate step by step.

Explanation:

Given:

Function f(y) = 1y² - 9y⁴ (y + 3y³)

Now, differentiate the given function w.r.t. y and reduce it into simplest form

f(y) = 1y² - 9y⁵ - 27y⁷

= d[1y² - 9y⁵ - 27y⁷]/dx

= d[1y²]/dx - d[9y⁵]/dx - d[27y⁷]/dx 

= 2y - 5 × 9y⁴ - 7 × 27y⁶

= 2y - 45y⁴ - 189y⁶

= y[2 - 45y³ - 189y⁵]

Cuemath's Derivative Calculator' is an online tool that helps you to calculate the value of the derivatives.

Hence, after differentating f(y) = 1y² - 9y⁴ (y + 3y³) we get y[2 - 45y³ - 189y⁵].