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Popular >

derivative of-7ln(3x+4)

Solution

\frac{d}{d x} (- 7 ln (3 x + 4))

Solution

- \frac{21}{3 x + 4}

Solution steps

\frac{d}{d x} (- 7 ln (3 x + 4))

Take the constant out:

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

= - 7 \frac{d}{d x} (ln (3 x + 4))

Apply the chain rule:

\frac{1}{3 x + 4} \frac{d}{d x} (3 x + 4)

= \frac{1}{3 x + 4} \frac{d}{d x} (3 x + 4)

\frac{d}{d x} (3 x + 4) = 3

= - 7 \cdot \frac{1}{3 x + 4} \cdot 3

Simplify

- 7 \cdot \frac{1}{3 x + 4} \cdot 3 : - \frac{21}{3 x + 4}

= - \frac{21}{3 x + 4}

Popular Examples

integral of x(x^2+3)^4

\int x (x^{2} + 3)^{4} d x

limit as x approaches 0 of 8x

x \to 0 lim (8 x)

(\partial)/(\partial x)(3x^2-5y)

\frac{\partial}{\partial x} (3 x^{2} - 5 y)

tangent of xy^8+8xy=36,(4,1)tangent of

x y^{8} + 8 x y = 36, (4, 1)

derivative of 13/3 x^3+21/2 x^2-10x-7

\frac{d}{d x} (\frac{13}{3} x^{3} + \frac{21}{2} x^{2} - 10 x - 7)

Frequently Asked Questions (FAQ)

What is the derivative of-7ln(3x+4) ?
The derivative of-7ln(3x+4) is -(21)/(3x+4)
What is the first derivative of-7ln(3x+4) ?
The first derivative of-7ln(3x+4) is -(21)/(3x+4)