en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of (8x^2-7y^3^5)

Solution

\frac{d}{d x} ((8 x^{2} - 7 y^{3})^{5})

Solution

5 (8 x^{2} - 7 y^{3})^{4} (16 x - 21 y^{2} \frac{d y}{d x})

Solution steps

\frac{d}{d x} ((8 x^{2} - 7 y^{3})^{5})

Apply the chain rule:

5 (8 x^{2} - 7 y^{3})^{4} \frac{d}{d x} (8 x^{2} - 7 y^{3})

= 5 (8 x^{2} - 7 y^{3})^{4} \frac{d}{d x} (8 x^{2} - 7 y^{3})

\frac{d}{d x} (8 x^{2} - 7 y^{3}) = 16 x - 21 y^{2} \frac{d y}{d x}

= 5 (8 x^{2} - 7 y^{3})^{4} (16 x - 21 y^{2} \frac{d y}{d x})

Popular Examples

integral of (4x^2+4x-6)/((x-6)(x-3)^2)

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

derivative of f(x)= 2/(x+1)derivative of

f (x) = \frac{2}{x + 1}

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

\int \frac{2 x + 4}{x ^{2} ( x - 2 )} d x

limit as x approaches-2 of x/(2x^2+2x+1)

x \to - 2 lim (\frac{x}{2 x ^{2} + 2 x + 1})

integral of 12^x

\int 1 2^{x} d x

Frequently Asked Questions (FAQ)

What is the derivative of (8x^2-7y^3^5) ?
The derivative of (8x^2-7y^3^5) is 5(8x^2-7y^3)^4(16x-21y^2(dy)/(dx))
What is the first derivative of (8x^2-7y^3^5) ?
The first derivative of (8x^2-7y^3^5) is 5(8x^2-7y^3)^4(16x-21y^2(dy)/(dx))