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Popular >

d/(dt)(tan(sqrt(5t)))

Solution

\frac{d}{d t} (tan (5 t))

Solution

\frac{5 sec ^{2} ( 5 t )}{2 t}

Solution steps

\frac{d}{d t} (tan (5 t))

Simplify

tan (5 t) : tan (5 t)

= \frac{d}{d t} (tan (5 t))

Apply the chain rule:

sec^{2} (5 t) \frac{d}{d t} (5 t)

= sec^{2} (5 t) \frac{d}{d t} (5 t)

\frac{d}{d t} (5 t) = \frac{5}{2 t}

= sec^{2} (5 t) \frac{5}{2 t}

Multiply fractions:

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

= \frac{5 sec ^{2} ( 5 t )}{2 t}

Popular Examples

tangent of y=-6x^2+4 tangent of

y = - 6 x^{2} + 4

limit as x approaches 0+of ln(x)sqrt(x)

x \to 0 + lim (ln (x) x)

derivative of y=(1-y)/(x-1)derivative of

y = \frac{1 - y}{x - 1}

limit as x approaches+7 of 2cos(x)

x \to + 7 lim (2 cos (x))

derivative of sqrt(2x^2+4x+7)

\frac{d}{d x} (2 x^{2} + 4 x + 7)

Frequently Asked Questions (FAQ)

What is the d/(dt)(tan(sqrt(5t))) ?
The d/(dt)(tan(sqrt(5t))) is (sqrt(5)sec^2(sqrt(5)sqrt(t)))/(2sqrt(t))
What is the first d/(dt)(tan(sqrt(5t))) ?
The first d/(dt)(tan(sqrt(5t))) is (sqrt(5)sec^2(sqrt(5)sqrt(t)))/(2sqrt(t))