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Popular >

derivative of cxln(x)

Solution

\frac{d}{d x} (c x ln (x))

Solution

c (ln (x) + 1)

Solution steps

\frac{d}{d x} (c x ln (x))

Take the constant out:

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

= c \frac{d}{d x} (x ln (x))

Apply the Product Rule:

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

f = x, g = ln (x)

= c (\frac{d x}{d x} ln (x) + \frac{d}{d x} (ln (x)) x)

\frac{d x}{d x} = 1

\frac{d}{d x} (ln (x)) = \frac{1}{x}

= c (1 \cdot ln (x) + \frac{1}{x} x)

Simplify

c (1 \cdot ln (x) + \frac{1}{x} x) : c (ln (x) + 1)

= c (ln (x) + 1)

Graph

Popular Examples

(-x^2sin(x)+2pixsin(x)-2picos(x)+2pi)^'

(- x^{2} sin (x) + 2 π x sin (x) - 2 π cos (x) + 2 π)^{^{'}}

derivative of sqrt((1+cos(x)/2))

\frac{d}{d x} (\frac{1 + cos ( x )}{2})

integral of e^xsin(6x)

\int e^{x} sin (6 x) d x

derivative of (x^3+2/3)

\frac{d}{d x} (\frac{x ^{3} + 2}{3})

integral of e^{6x}cos(2x)

\int e^{6 x} cos (2 x) d x

Frequently Asked Questions (FAQ)

What is the derivative of cxln(x) ?
The derivative of cxln(x) is c(ln(x)+1)
What is the first derivative of cxln(x) ?
The first derivative of cxln(x) is c(ln(x)+1)