What is the derivative of sqrt(10t^2-t) ?

The derivative of sqrt(10t^2-t) is (20t-1)/(2sqrt(10t^2-t))

What is the first derivative of sqrt(10t^2-t) ?

The first derivative of sqrt(10t^2-t) is (20t-1)/(2sqrt(10t^2-t))

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derivative of

10 t^{2} - t

\frac{20 t - 1}{2 10 t ^{2} - t}

Solution steps

\frac{d}{d t} (10 t^{2} - t)

Apply the chain rule:

\frac{1}{2 10 t ^{2} - t} \frac{d}{d t} (10 t^{2} - t)

= \frac{1}{2 10 t ^{2} - t} \frac{d}{d t} (10 t^{2} - t)

\frac{d}{d t} (10 t^{2} - t) = 20 t - 1

= \frac{1}{2 10 t ^{2} - t} (20 t - 1)

Simplify

\frac{1}{2 10 t ^{2} - t} (20 t - 1) : \frac{20 t - 1}{2 10 t ^{2} - t}

= \frac{20 t - 1}{2 10 t ^{2} - t}

y = 2 ln (x)

\int \frac{x ^{2}}{( 1 - x ^{2} ) ^{2}} d x

\frac{d}{d x} (\frac{2}{x ^{2}} - \frac{3}{x ^{\frac{1}{3}}})

\frac{d}{d x} (7 x - 4 x)

f (t) = cos (t)

What is the derivative of sqrt(10t^2-t) ?
The derivative of sqrt(10t^2-t) is (20t-1)/(2sqrt(10t^2-t))
What is the first derivative of sqrt(10t^2-t) ?
The first derivative of sqrt(10t^2-t) is (20t-1)/(2sqrt(10t^2-t))