en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of 2(3-x^2^5)

Solution

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

Solution

- 20 x (3 - x^{2})^{4}

Solution steps

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

Take the constant out:

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

= 2 \frac{d}{d x} ((3 - x^{2})^{5})

Apply the chain rule:

5 (3 - x^{2})^{4} \frac{d}{d x} (3 - x^{2})

= 5 (3 - x^{2})^{4} \frac{d}{d x} (3 - x^{2})

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

= 2 \cdot 5 (3 - x^{2})^{4} (- 2 x)

Simplify

= - 20 x (3 - x^{2})^{4}

Popular Examples

integral from 0 to 3 of 2pix(9-x^2)

\int_{0}^{3} 2 π x (9 - x^{2}) d x

derivative of 5x^{ln(5x})

\frac{d}{d x} (5 x^{l n (5 x)})

y^'+2xy= x/(y^2)

y^{^{'}} + 2 x y = \frac{x}{y ^{2}}

integral of (3x^2-2x+1)(x^3-x^2+x)^8

\int (3 x^{2} - 2 x + 1) (x^{3} - x^{2} + x)^{8} d x

derivative of y=(t*sin(t))^2+t*sin(t)derivative of

y = (t \cdot sin (t))^{2} + t \cdot sin (t)

Frequently Asked Questions (FAQ)

What is the derivative of 2(3-x^2^5) ?
The derivative of 2(3-x^2^5) is -20x(3-x^2)^4
What is the first derivative of 2(3-x^2^5) ?
The first derivative of 2(3-x^2^5) is -20x(3-x^2)^4