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Popular >

derivative of tan^2(8θ)

Solution

derivative of

tan^{2} (8 θ)

Solution

16 sec^{2} (8 θ) tan (8 θ)

Solution steps

\frac{d}{d θ} (tan^{2} (8 θ))

Apply the chain rule:

2 tan (8 θ) \frac{d}{d θ} (tan (8 θ))

= 2 tan (8 θ) \frac{d}{d θ} (tan (8 θ))

\frac{d}{d θ} (tan (8 θ)) = sec^{2} (8 θ) \cdot 8

= 2 tan (8 θ) sec^{2} (8 θ) \cdot 8

Simplify

= 16 sec^{2} (8 θ) tan (8 θ)

Popular Examples

derivative of 2ln(1+x^2)

\frac{d}{d x} (2 ln (1 + x^{2}))

(\partial)/(\partial x)(ln(x^3+y^3))

\frac{\partial}{\partial x} (ln (x^{3} + y^{3}))

(\partial}{\partial x}(B(\frac{G(B,x))/a)^{1/x})

\frac{\partial}{\partial x} (B (\frac{G ( B , x )}{a})^{\frac{1}{x}})

(\partial)/(\partial x)(-2x^3+sin(xy)+4e^{4y})

\frac{\partial}{\partial x} (- 2 x^{3} + sin (x y) + 4 e^{4 y})

limit as x approaches 0 of |x|ln|x|

x \to 0 lim (∣ x ∣ ln ∣ x ∣)

Frequently Asked Questions (FAQ)

What is the derivative of tan^2(8θ) ?
The derivative of tan^2(8θ) is 16sec^2(8θ)tan(8θ)
What is the first derivative of tan^2(8θ) ?
The first derivative of tan^2(8θ) is 16sec^2(8θ)tan(8θ)