en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of f(x)=(2x^7-3x^5+2)^{22}

Solution

derivative of

f (x) = (2 x^{7} - 3 x^{5} + 2)^{22}

Solution

22 (2 x^{7} - 3 x^{5} + 2)^{21} (14 x^{6} - 15 x^{4})

Solution steps

\frac{d}{d x} ((2 x^{7} - 3 x^{5} + 2)^{22})

Apply the chain rule:

22 (2 x^{7} - 3 x^{5} + 2)^{21} \frac{d}{d x} (2 x^{7} - 3 x^{5} + 2)

= 22 (2 x^{7} - 3 x^{5} + 2)^{21} \frac{d}{d x} (2 x^{7} - 3 x^{5} + 2)

\frac{d}{d x} (2 x^{7} - 3 x^{5} + 2) = 14 x^{6} - 15 x^{4}

= 22 (2 x^{7} - 3 x^{5} + 2)^{21} (14 x^{6} - 15 x^{4})

Popular Examples

inverse oflaplace (s+3)/(s^2+3s+2)inverse laplace

\frac{s + 3}{s ^{2} + 3 s + 2}

(\partial)/(\partial x)(xsqrt(y-z))

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

derivative of f(x)=(x^2+6)/(9x-2)derivative of

f (x) = \frac{x ^{2} + 6}{9 x - 2}

(\partial)/(\partial x)(t^2)

\frac{\partial}{\partial x} (t^{2})

integral of (x^2)/(sqrt(4-x^2))

\int \frac{x ^{2}}{4 - x ^{2}} d x

Frequently Asked Questions (FAQ)

What is the derivative of f(x)=(2x^7-3x^5+2)^{22} ?
The derivative of f(x)=(2x^7-3x^5+2)^{22} is 22(2x^7-3x^5+2)^{21}(14x^6-15x^4)
What is the first derivative of f(x)=(2x^7-3x^5+2)^{22} ?
The first derivative of f(x)=(2x^7-3x^5+2)^{22} is 22(2x^7-3x^5+2)^{21}(14x^6-15x^4)