en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of y=x^3-(x^2)/(16)+4x+5

Solution

derivative of

y = x^{3} - \frac{x ^{2}}{16} + 4 x + 5

Solution

3 x^{2} - \frac{x}{8} + 4

Solution steps

\frac{d}{d x} (x^{3} - \frac{x ^{2}}{16} + 4 x + 5)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{3}) - \frac{d}{d x} (\frac{x ^{2}}{16}) + \frac{d}{d x} (4 x) + \frac{d}{d x} (5)

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

\frac{d}{d x} (\frac{x ^{2}}{16}) = \frac{x}{8}

\frac{d}{d x} (4 x) = 4

\frac{d}{d x} (5) = 0

= 3 x^{2} - \frac{x}{8} + 4 + 0

Simplify

= 3 x^{2} - \frac{x}{8} + 4

Popular Examples

tangent of f(x)=2x^2+3x-2,\at x=-1 tangent of

f (x) = 2 x^{2} + 3 x - 2, at x = - 1

derivative of k(1-w/d e^{-sx}sin(dx+t))

\frac{d}{d x} (k (1 - \frac{w}{d} e^{- s x} sin (d x + t)))

laplacetransform-x laplace transform

- x

derivative of (sqrt(9-x^2))/(16x)derivative of

\frac{9 - x ^{2}}{16 x}

integral of pix

\int π x d x

Frequently Asked Questions (FAQ)

What is the derivative of y=x^3-(x^2)/(16)+4x+5 ?
The derivative of y=x^3-(x^2)/(16)+4x+5 is 3x^2-x/8+4
What is the first derivative of y=x^3-(x^2)/(16)+4x+5 ?
The first derivative of y=x^3-(x^2)/(16)+4x+5 is 3x^2-x/8+4