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Popular >

derivative of 4sqrt(x)+ln(x+1)

Solution

\frac{d}{d x} (4 x + ln (x + 1))

Solution

\frac{2}{x} + \frac{1}{x + 1}

Solution steps

\frac{d}{d x} (4 x + ln (x + 1))

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (4 x) + \frac{d}{d x} (ln (x + 1))

\frac{d}{d x} (4 x) = \frac{2}{x}

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

= \frac{2}{x} + \frac{1}{x + 1}

Popular Examples

(dy}{dx}=\frac{6xsec(y/x)+y)/x

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

limit as x approaches 0+of (tan(3x))x

x \to 0 + lim ((tan (3 x)) x)

tangent of x^2-4x+25 tangent of

x^{2} - 4 x + 25

(\partial}{\partial x}(830x-\frac{25000)/x-(5400)/y+2280y+457950)

\frac{\partial}{\partial x} (830 x - \frac{25000}{x} - \frac{5400}{y} + 2280 y + 457950)

(\partial)/(\partial x)(e^xcos(y)-z)

\frac{\partial}{\partial x} (e^{x} cos (y) - z)

Frequently Asked Questions (FAQ)

What is the derivative of 4sqrt(x)+ln(x+1) ?
The derivative of 4sqrt(x)+ln(x+1) is 2/(sqrt(x))+1/(x+1)
What is the first derivative of 4sqrt(x)+ln(x+1) ?
The first derivative of 4sqrt(x)+ln(x+1) is 2/(sqrt(x))+1/(x+1)