What is the derivative of (u-sqrt(u))(u+sqrt(u)) ?

The derivative of (u-sqrt(u))(u+sqrt(u)) is 2u-1

What is the first derivative of (u-sqrt(u))(u+sqrt(u)) ?

The first derivative of (u-sqrt(u))(u+sqrt(u)) is 2u-1

Popular >

derivative of

(u - u) (u + u)

2 u - 1

Solution steps

\frac{d}{d u} ((u - u) (u + u))

Apply the Product Rule:

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

f = u - u, g = u + u

= \frac{d}{d u} (u - u) (u + u) + \frac{d}{d u} (u + u) (u - u)

\frac{d}{d u} (u - u) = 1 - \frac{1}{2 u}

\frac{d}{d u} (u + u) = 1 + \frac{1}{2 u}

= (1 - \frac{1}{2 u}) (u + u) + (1 + \frac{1}{2 u}) (u - u)

Simplify

(1 - \frac{1}{2 u}) (u + u) + (1 + \frac{1}{2 u}) (u - u) : 2 u - 1

= 2 u - 1

y^{^{'}} + 2 y = e^{- x}

\int 2 x \cdot cos (x^{2}) d x

x y^{^{'}} = 2 x + 3 y

n = 2 \sum \infty (- 1)^{n}

x \to 0 + lim (\frac{36 - 4 x ^{2}}{x})

What is the derivative of (u-sqrt(u))(u+sqrt(u)) ?
The derivative of (u-sqrt(u))(u+sqrt(u)) is 2u-1
What is the first derivative of (u-sqrt(u))(u+sqrt(u)) ?
The first derivative of (u-sqrt(u))(u+sqrt(u)) is 2u-1