What is the derivative of 6x^5y ?

The derivative of 6x^5y is 6(5x^4y+(dy)/(dx)x^5)

What is the first derivative of 6x^5y ?

The first derivative of 6x^5y is 6(5x^4y+(dy)/(dx)x^5)

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\frac{d}{d x} (6 x^{5} y)

6 (5 x^{4} y + \frac{d y}{d x} x^{5})

Solution steps

\frac{d}{d x} (6 x^{5} y)

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 6 \frac{d}{d x} (x^{5} y)

Apply the Product Rule:

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

f = x^{5}, g = y

= 6 (\frac{d}{d x} (x^{5}) y + \frac{d y}{d x} x^{5})

\frac{d}{d x} (x^{5}) = 5 x^{4}

= 6 (5 x^{4} y + \frac{d y}{d x} x^{5})

x^{3} + 1

f (p) = 325 - 3 p

\int 8 x + 4 d x

\frac{d y}{y} = x d x

\int_{- 2}^{2} (4 - x^{2}) d x

What is the derivative of 6x^5y ?
The derivative of 6x^5y is 6(5x^4y+(dy)/(dx)x^5)
What is the first derivative of 6x^5y ?
The first derivative of 6x^5y is 6(5x^4y+(dy)/(dx)x^5)