What is the derivative of (c(x-c)^2) ?

The derivative of (c(x-c)^2) is 2c(x-c)

What is the first derivative of (c(x-c)^2) ?

The first derivative of (c(x-c)^2) is 2c(x-c)

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\frac{d}{d x} ((c) (x - c)^{2})

2 c (x - c)

Solution steps

\frac{d}{d x} ((c) (x - c)^{2})

Take the constant out:

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

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

Apply the chain rule:

2 (x - c) \frac{d}{d x} (x - c)

= 2 (x - c) \frac{d}{d x} (x - c)

\frac{d}{d x} (x - c) = 1

= c \cdot 2 (x - c) \cdot 1

Simplify

= 2 c (x - c)

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

(- d + e) (4 e + d)

\frac{( y - 1 ) ^{3}}{y}

\frac{x ( x - 1 ) ^{2}}{( x + 3 ) ^{3}}

- \frac{3}{13} e^{(- 2 + 3 i) t}

What is the derivative of (c(x-c)^2) ?
The derivative of (c(x-c)^2) is 2c(x-c)
What is the first derivative of (c(x-c)^2) ?
The first derivative of (c(x-c)^2) is 2c(x-c)