Calculate: (d)/(dx) cos(ln(x^3)))

nazismes2w7

nazismes2w7

Answered question

2022-11-24

Calculate:
d d x cos ( ln ( x 3 ) )

Answer & Explanation

desecat9qs

desecat9qs

Beginner2022-11-25Added 10 answers

Use Chain Rule on d d x cos ( ln ( x 3 ) ). Let u = ln ( x 3 ) Use Trigonometric Differentiation: the derivative of cos u is sin u.
sin ( ln ( x 3 ) ) ( d d x ln ( x 3 ) )
Use Chain Rule on d d x ln ( x 3 ). Let u = x 3 . The derivative of ln u is 1 u
sin ( ln ( x 3 ) ) × 1 x 3 ( d d x x 3 )
Use Power Rule: d d x x n = n x n 1
3 sin ( ln ( x 3 ) ) x

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