What is the derivative of y=4(6-x^2)^5 ?

The derivative of y=4(6-x^2)^5 is -40x(6-x^2)^4

What is the first derivative of y=4(6-x^2)^5 ?

The first derivative of y=4(6-x^2)^5 is -40x(6-x^2)^4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

y = 4 (6 - x^{2})^{5}

- 40 x (6 - x^{2})^{4}

Solution steps

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

Take the constant out:

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

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

Apply the chain rule:

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

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

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

= 4 \cdot 5 (6 - x^{2})^{4} (- 2 x)

Simplify

= - 40 x (6 - x^{2})^{4}

\int 4 m (9 m^{2} - 10 m) d m

ln (15 x)

f (x) = x^{12}

x \to - 3 lim (\frac{3 x + 1}{x - 3})

\frac{\partial}{\partial x} ((x^{5} + y^{3})^{7})

What is the derivative of y=4(6-x^2)^5 ?
The derivative of y=4(6-x^2)^5 is -40x(6-x^2)^4
What is the first derivative of y=4(6-x^2)^5 ?
The first derivative of y=4(6-x^2)^5 is -40x(6-x^2)^4