Expert Answer to "Find the derivatives of the functions y=x3−3(x2+π2)"

Adela Brown

Answered question

2021-12-07

Find the derivatives of the functions

y = x^{3} - 3 (x^{2} + π^{2})

Archie Jones

Beginner2021-12-08Added 34 answers

Step 1
the given function is:

y = x^{3} - 3 (x^{2} + π^{2})

we have to find the derivative of the given function.
Step 2
the given function is

y = x^{3} - 3 (x^{2} + π^{2})

the given function can be written as:

y = x^{3} - 3 (x^{2} + π^{2})

y = x^{3} - 3 x^{2} - 3 π^{2}

...(1)
now differentiate the both the sides of the equation (1) with respect to x,

\frac{d y}{d x} = \frac{d}{d x} (x^{3} - 3 x^{2} - 3 π^{2})

\frac{d y}{d x} = \frac{d}{d x} (x^{3}) - \frac{d}{d x} (3 x^{2}) - \frac{d}{d x} (3 π^{2})

\frac{d y}{d x} = 3 x^{2} - 3 x \frac{d}{d x} (x^{2}) - 0

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

\frac{d y}{d x} = 3 x^{2} - 6 x

Step 3
therefore the derivative of the given function

y = x^{3} - 3 (x^{2} + π^{2}) i s 3 x^{2} - 6 x

Do you have a similar question?

Recalculate according to your conditions!