What is the derivative of tan(sqrt(5x)) ?

The derivative of tan(sqrt(5x)) is (sqrt(5)sec^2(sqrt(5)sqrt(x)))/(2sqrt(x))

What is the first derivative of tan(sqrt(5x)) ?

The first derivative of tan(sqrt(5x)) is (sqrt(5)sec^2(sqrt(5)sqrt(x)))/(2sqrt(x))

Popular >

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

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

Solution steps

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

Simplify

tan (5 x) : tan (5 x)

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

Apply the chain rule:

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

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

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

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

Multiply fractions:

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

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

x \to 1 lim (3 x^{3} - 5 x^{2} + 5)

\int \frac{x ^{2}}{4 x ^{2} + 1} d x

7 e^{1 - x^{2}}

\int (\frac{1 + x}{x})^{3} d x

\frac{( x - 2 )}{x + 2}

What is the derivative of tan(sqrt(5x)) ?
The derivative of tan(sqrt(5x)) is (sqrt(5)sec^2(sqrt(5)sqrt(x)))/(2sqrt(x))
What is the first derivative of tan(sqrt(5x)) ?
The first derivative of tan(sqrt(5x)) is (sqrt(5)sec^2(sqrt(5)sqrt(x)))/(2sqrt(x))