en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of (2x^4-6x^2+5^2)

Solution

\frac{d}{d x} ((2 x^{4} - 6 x^{2} + 5)^{2})

Solution

2 (2 x^{4} - 6 x^{2} + 5) (8 x^{3} - 12 x)

Solution steps

\frac{d}{d x} ((2 x^{4} - 6 x^{2} + 5)^{2})

Apply the chain rule:

2 (2 x^{4} - 6 x^{2} + 5) \frac{d}{d x} (2 x^{4} - 6 x^{2} + 5)

= 2 (2 x^{4} - 6 x^{2} + 5) \frac{d}{d x} (2 x^{4} - 6 x^{2} + 5)

\frac{d}{d x} (2 x^{4} - 6 x^{2} + 5) = 8 x^{3} - 12 x

= 2 (2 x^{4} - 6 x^{2} + 5) (8 x^{3} - 12 x)

Graph

Popular Examples

-y+y^'-y=e^xcos(x)

- y + y^{^{'}} - y = e^{x} cos (x)

implicit (d^2y)/(dx^2),xy+7ey(x)=7e implicit derivative

\frac{d ^{2} y}{d x ^{2}}, x y + 7 ey (x) = 7 e

derivative of f(x)=tan(x)-1sec(x)derivative of

f (x) = tan (x) - 1 sec (x)

derivative of f(x)=\sqrt[3]{x+2}derivative of

f (x) = 3 x + 2

(\partial)/(\partial x)(ln(13x^2-10y^2))

\frac{\partial}{\partial x} (ln (13 x^{2} - 10 y^{2}))

Frequently Asked Questions (FAQ)

What is the derivative of (2x^4-6x^2+5^2) ?
The derivative of (2x^4-6x^2+5^2) is 2(2x^4-6x^2+5)(8x^3-12x)
What is the first derivative of (2x^4-6x^2+5^2) ?
The first derivative of (2x^4-6x^2+5^2) is 2(2x^4-6x^2+5)(8x^3-12x)