Calculate: d d x sec ⁡ x ln ⁡ x

Use Product Rule to find the derivative of sec ⁡ x ln ⁡ x The product rule states that ( f g ) ′ = f ′ g + f g ′ . ( d d x sec ⁡ x ) ln ⁡ x + sec ⁡ x ( d d x ln ⁡ x )Use Trigonometric Differentiation: the derivative of sec ⁡ x is sec ⁡ x tan ⁡ x sec ⁡ x tan ⁡ x ln ⁡ x + sec ⁡ x ( d d x ln ⁡ x )The derivative of x is 1 x sec ⁡ x tan ⁡ x ln ⁡ x + sec ⁡ x x

Answered: "Calculate: d d x sec ⁡ x ln..."

Rigoberto Drake

Answered question

2022-11-08

Calculate:

\frac{d}{d x} \sec x \ln x

Answer & Explanation

levraijournalk1o

Beginner2022-11-09Added 10 answers

Use Product Rule to find the derivative of

\sec x \ln x

The product rule states that

(f g)' = f' g + f g' .

(\frac{d}{d x} \sec x) \ln x + \sec x (\frac{d}{d x} \ln x)

Use Trigonometric Differentiation: the derivative of

\sec x

\sec x \tan x

\sec x \tan x \ln x + \sec x (\frac{d}{d x} \ln x)

The derivative of

x

\frac{1}{x}

\sec x \tan x \ln x + \frac{\sec x}{x}

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