Chapter 7.2, Problem 9QR

Evaluate dx Evoluate le3-). OA. (3x - x?)e3x²- x? - 1 X' O B. oc (9x² - 2x)e3»²-x² OC. O D. In(3x³ – x?) 6 / 22 9x? - 2x +e

tan(r) sec(x)dx ftan² (r) sec(x) dx tan(r) sec²(x) dx MTH 32 106

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Verify the formula by differentiation. sec2 (9x + 5)dx = 1. tan (9x + 5) + C 6. Which function should be differentiated? O A. sec2(9x + 5) 1. O B. tan (9x + 5) + C 6.

Use logarithmic differentiation. sin(w2) + log w b = (csc (TW))10/tan-(w³)

Differentiate while showing the necessary steps. y=g(x)=(cos⁡(x))/x^2

Question 9 Choose the correct answer by using the Product rule of derivative. d Derivative 1 - (x4.x7) is equal to dx (² (Hint: Look at the note of section 2.4, Example 1 in page 4 and use product rule) O 11 x ¹0 O 7x¹0 O 10x11 4x

Use that tan (x) · sec* (x) = tan? (x) · sec³ (x) · (sec(x) tan(x)) and the Pythagorean identity for tan? (x). Use that tan (x) · sec*(x) = tan³ (x) • sec² (x) · (sec2 (x)) and the Pythagorean identity for sec? (x).

explain each one please