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^3-7x^2+9

Solution

\frac{d}{d x} (2 x^{4} - 6 x^{3} - 7 x^{2} + 9)

Solution

8 x^{3} - 18 x^{2} - 14 x

Solution steps

\frac{d}{d x} (2 x^{4} - 6 x^{3} - 7 x^{2} + 9)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (2 x^{4}) - \frac{d}{d x} (6 x^{3}) - \frac{d}{d x} (7 x^{2}) + \frac{d}{d x} (9)

\frac{d}{d x} (2 x^{4}) = 8 x^{3}

\frac{d}{d x} (6 x^{3}) = 18 x^{2}

\frac{d}{d x} (7 x^{2}) = 14 x

\frac{d}{d x} (9) = 0

= 8 x^{3} - 18 x^{2} - 14 x + 0

Simplify

= 8 x^{3} - 18 x^{2} - 14 x

Popular Examples

derivative of f(x)=3z(2z^2-7z+1)^4 derivative of

f (x) = 3 z (2 z^{2} - 7 z + 1)^{4}

sum from k=1 to infinity of k(2/3)^k

k = 1 \sum \infty k (\frac{2}{3})^{k}

laplacetransform sin(t-1)laplace transform

sin (t - 1)

integral of x^2(5x^3+7x^2-6x-3)

\int x^{2} (5 x^{3} + 7 x^{2} - 6 x - 3) d x

sin(2x)dx+cos(3y)dy=0,y(pi/2)= pi/3

sin (2 x) d x + cos (3 y) d y = 0, y (\frac{π}{2}) = \frac{π}{3}

Frequently Asked Questions (FAQ)

What is the derivative of 2x^4-6x^3-7x^2+9 ?
The derivative of 2x^4-6x^3-7x^2+9 is 8x^3-18x^2-14x
What is the first derivative of 2x^4-6x^3-7x^2+9 ?
The first derivative of 2x^4-6x^3-7x^2+9 is 8x^3-18x^2-14x