en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of y=2x^2log_{e}(x)-x^2

Solution

derivative of

y = 2 x^{2} lo g_{e} (x) - x^{2}

Solution

4 x ln (x)

Solution steps

\frac{d}{d x} (2 x^{2} lo g_{e} (x) - x^{2})

Simplify

2 x^{2} lo g_{e} (x) - x^{2} : 2 x^{2} ln (x) - x^{2}

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

Apply the Sum/Difference Rule:

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

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

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

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

= 2 (2 x ln (x) + x) - 2 x

Simplify

2 (2 x ln (x) + x) - 2 x : 4 x ln (x)

= 4 x ln (x)

Popular Examples

tangent of f(x)=e^x,\at x=ln(7)tangent of

f (x) = e^{x}, at x = ln (7)

(dy)/(dx)= y/x+((y^2))/(x^2)

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

derivative of 3/(4x-5)

\frac{d}{d x} (\frac{3}{4 x - 5})

x y^{^{'}} = y ln (x y)

limit as x approaches 0+of 2xln(4x^2)

x \to 0 + lim (2 x ln (4 x^{2}))

Frequently Asked Questions (FAQ)

What is the derivative of y=2x^2log_{e}(x)-x^2 ?
The derivative of y=2x^2log_{e}(x)-x^2 is 4xln(x)
What is the first derivative of y=2x^2log_{e}(x)-x^2 ?
The first derivative of y=2x^2log_{e}(x)-x^2 is 4xln(x)