en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of sqrt(7-10x)

Solution

\frac{d}{d x} (7 - 10 x)

Solution

- \frac{5}{7 - 10 x}

Solution steps

\frac{d}{d x} (7 - 10 x)

Apply the chain rule:

\frac{1}{2 7 - 10 x} \frac{d}{d x} (7 - 10 x)

= \frac{1}{2 7 - 10 x} \frac{d}{d x} (7 - 10 x)

\frac{d}{d x} (7 - 10 x) = - 10

= \frac{1}{2 7 - 10 x} (- 10)

Simplify

\frac{1}{2 7 - 10 x} (- 10) : - \frac{5}{7 - 10 x}

= - \frac{5}{7 - 10 x}

Popular Examples

integral of (sin(x))/(5+cos^2(x))

\int \frac{sin ( x )}{5 + cos ^{2} ( x )} d x

derivative of 1-|1-x|

\frac{d}{d x} (1 - ∣ 1 - x ∣)

integral of (x^4)/x

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

(x^2+2)^2y=(5x(y^2+1)^2)/((x^2+2)y^')-(x^4+4x^2+4)y

(x^{2} + 2)^{2} y = \frac{5 x ( y ^{2} + 1 ) ^{2}}{( x ^{2} + 2 ) y ^{^{'}}} - (x^{4} + 4 x^{2} + 4) y

(dy)/(dx)= 1/(x^4+4x^2)

\frac{d y}{d x} = \frac{1}{x ^{4} + 4 x ^{2}}

Frequently Asked Questions (FAQ)

What is the derivative of sqrt(7-10x) ?
The derivative of sqrt(7-10x) is -5/(sqrt(7-10x))
What is the first derivative of sqrt(7-10x) ?
The first derivative of sqrt(7-10x) is -5/(sqrt(7-10x))