What is the derivative of tan(sqrt(3t)) ?

The derivative of tan(sqrt(3t)) is (sqrt(3)sec^2(sqrt(3)sqrt(t)))/(2sqrt(t))

What is the first derivative of tan(sqrt(3t)) ?

The first derivative of tan(sqrt(3t)) is (sqrt(3)sec^2(sqrt(3)sqrt(t)))/(2sqrt(t))

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derivative of

tan (3 t)

\frac{3 sec ^{2} ( 3 t )}{2 t}

Solution steps

\frac{d}{d t} (tan (3 t))

Simplify

tan (3 t) : tan (3 t)

= \frac{d}{d t} (tan (3 t))

Apply the chain rule:

sec^{2} (3 t) \frac{d}{d t} (3 t)

= sec^{2} (3 t) \frac{d}{d t} (3 t)

\frac{d}{d t} (3 t) = \frac{3}{2 t}

= sec^{2} (3 t) \frac{3}{2 t}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{3 sec ^{2} ( 3 t )}{2 t}

\int ln (7 x + 5) d x

\int 2 t 2 t - 3 d t

x^{^{'}} (t) = (\frac{1}{3} x) (1 - \frac{x}{3}), x (0) = 6

\int_{1}^{2} 21 x^{2} 4^{x^{3}} d x

\int 2 x^{2} y + 4 d y

What is the derivative of tan(sqrt(3t)) ?
The derivative of tan(sqrt(3t)) is (sqrt(3)sec^2(sqrt(3)sqrt(t)))/(2sqrt(t))
What is the first derivative of tan(sqrt(3t)) ?
The first derivative of tan(sqrt(3t)) is (sqrt(3)sec^2(sqrt(3)sqrt(t)))/(2sqrt(t))