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Popular >

d/(dθ)(sec^2(mθ))

Solution

\frac{d}{d θ} (sec^{2} (m θ))

Solution

2 m sec^{2} (m θ) tan (m θ)

Solution steps

\frac{d}{d θ} (sec^{2} (m θ))

Apply the chain rule:

2 sec (m θ) \frac{d}{d θ} (sec (m θ))

= 2 sec (m θ) \frac{d}{d θ} (sec (m θ))

\frac{d}{d θ} (sec (m θ)) = sec (m θ) tan (m θ) m

= 2 sec (m θ) sec (m θ) tan (m θ) m

Simplify

2 sec (m θ) sec (m θ) tan (m θ) m : 2 m sec^{2} (m θ) tan (m θ)

= 2 m sec^{2} (m θ) tan (m θ)

Graph

Popular Examples

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\int_{0}^{1} \frac{77}{x ^{5}} d x

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\frac{d}{d x} (\frac{8 x ^{2} + 6 x + 2}{x})

(\partial)/(\partial x)(55x-0.5x^2)

\frac{\partial}{\partial x} (55 x - 0.5 x^{2})

Frequently Asked Questions (FAQ)

What is the d/(dθ)(sec^2(mθ)) ?
The d/(dθ)(sec^2(mθ)) is 2msec^2(mθ)tan(mθ)
What is the first d/(dθ)(sec^2(mθ)) ?
The first d/(dθ)(sec^2(mθ)) is 2msec^2(mθ)tan(mθ)