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Popular >

derivative of tan(sqrt(3x))

Solution

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

Solution

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

Solution steps

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

Simplify

tan (3 x) : tan (3 x)

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

Apply the chain rule:

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

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

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

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

Multiply fractions:

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

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

Popular Examples

tangent of f(x)=2x^2,\at x=4 tangent of

f (x) = 2 x^{2}, at x = 4

integral of cos(pix)

\int cos (π x) d x

(\partial)/(\partial y)(x^3-3xy^2)

\frac{\partial}{\partial y} (x^{3} - 3 x y^{2})

derivative of 1-(1-0.01t)^3 derivative of

1 - (1 - 0.01 t)^{3}

integral of (ln(x))/(x^8)

\int \frac{ln ( x )}{x ^{8}} d x

Frequently Asked Questions (FAQ)

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