Question

tentukan turunan dari fungsi- fungsi trigonometri

Answer 1

Verified answer

1. f(x) = sin (5x + 2)

f'(x) = 5 cos (5x + 2)

2. f(x) = cos (2 - 3x²)

f'(x) = 6x sin (3x² - 2)

3. f(x) = 4 sin (2x² + 4x - 1)

f'(x) = 8x cos (2x² + 4x - 1) + 4 cos (2x² + 4x - 1)

4. f(x) = (x + cos x)³

f'(x) = 3 ((x + cos x)² + (1 - sin x) (x + cos x)²

5. f(x) = tan³x

f'(x) = 3 tan²x sec² 3x

6. f(x) = x sin 3x

f'(x) = sin 3x + 3x cos 3x

7. f(x) = x² cos (x + 2)

f'(x) = 2x cos (x + 2) - x² sin (x + 2)

[tex]8. \: f(x) = \sqrt[3]{ \sin^{5} ( {3x}^{2} - 2x?) } [/tex]

[tex]f'(x) = \frac{5\ \sin^{4}(3x^{2} - 2x) \cos((3x^{2} - 2x)(6x - 2)}{3 \sqrt[3]{ \sin5 (3x^{2} - 2x)^{2}}} [/tex]