en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of-7z^4+z^2-25

Solution

derivative of

- 7 z^{4} + z^{2} - 25

Solution

- 28 z^{3} + 2 z

Solution steps

\frac{d}{d z} (- 7 z^{4} + z^{2} - 25)

Apply the Sum/Difference Rule:

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

= - \frac{d}{d z} (7 z^{4}) + \frac{d}{d z} (z^{2}) - \frac{d}{d z} (25)

\frac{d}{d z} (7 z^{4}) = 28 z^{3}

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

\frac{d}{d z} (25) = 0

= - 28 z^{3} + 2 z - 0

Simplify

= - 28 z^{3} + 2 z

Popular Examples

(\partial)/(\partial x)(((x^2))/(y+3))

\frac{\partial}{\partial x} (\frac{( x ^{2} )}{y + 3})

limit as x approaches 4 of (|x|-4)/(x-4)

x \to 4 lim (\frac{∣ x ∣ - 4}{x - 4})

(\partial)/(\partial z)(xe^{-y}-z)

\frac{\partial}{\partial z} (x e^{- y} - z)

derivative of f(x)=cos(arctan(x))derivative of

f (x) = cos (arctan (x))

limit as x approaches 0 of ((x^2)/2)-x

x \to 0 lim ((\frac{x ^{2}}{2}) - x)

Frequently Asked Questions (FAQ)

What is the derivative of-7z^4+z^2-25 ?
The derivative of-7z^4+z^2-25 is -28z^3+2z
What is the first derivative of-7z^4+z^2-25 ?
The first derivative of-7z^4+z^2-25 is -28z^3+2z