en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of (3x/(x^2+3)+98.6)

Solution

\frac{d}{d x} (\frac{3 x}{x ^{2} + 3} + 98.6)

Solution

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

Solution steps

\frac{d}{d x} (\frac{3 x}{x ^{2} + 3} + 98.6)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{3 x}{x ^{2} + 3}) + \frac{d}{d x} (98.6)

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

\frac{d}{d x} (98.6) = 0

= \frac{3 ( - x ^{2} + 3 )}{( x ^{2} + 3 ) ^{2}} + 0

Simplify

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

Popular Examples

simplify (3x^2)^{2x}*(x^2+2x)^2 simplify

(3 x^{2})^{2 x} \cdot (x^{2} + 2 x)^{2}

integral of (2x^4)/(sqrt(7-6x^5))

\int \frac{2 x ^{4}}{7 - 6 x ^{5}} d x

integral from 0 to 8pi of sqrt(5+t^2)

\int_{0}^{8 π} 5 + t^{2} d t

derivative of x/(e^x)derivative of

\frac{x}{e ^{x}}

laplacetransform f(t)=cos(t)laplace transform

f (t) = cos (t)

Frequently Asked Questions (FAQ)

What is the derivative of (3x/(x^2+3)+98.6) ?
The derivative of (3x/(x^2+3)+98.6) is (3(-x^2+3))/((x^2+3)^2)
What is the first derivative of (3x/(x^2+3)+98.6) ?
The first derivative of (3x/(x^2+3)+98.6) is (3(-x^2+3))/((x^2+3)^2)