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(x) Given fx = x² In 9x Differentiating both side wrt x r(x) = (x² In 9x) d dx

(x) Given fx = x² In 9x Differentiating both side wrt x r(x) = (x² In 9x) d dx

Intermediate Algebra
Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter8: Conic Sections
Section8.2: More Parabolas And Some Circles
Problem 63.2PS: By expanding (xh)2+(yk)2=r2, we obtain x22hx+h22ky+k2r2=0. When we compare this result to the form...
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I would like to know lf ln9x is 1/x because somebody solve the problem ln9x=1/ln9 is true or no please help me understand how they got to the answer

Step 2 Solution: 342. √(x). Given fx Differentiating both side wrt x ƒ ( x ) = ± (x² m 9x) dx U sin g product formula i. e = x² ln 9x = x² -In 9x + ln 9xx² dx dx = x² x 9x² In 9x 1 d 9x + ln 9x × 2x In 9x dx + 2x ln 9x Hence f'x == (uv). = 9x² In 9x = uv' + vu' + 2x ln 9x
Transcribed Image Text:Step 2 Solution: 342. √(x). Given fx Differentiating both side wrt x ƒ ( x ) = ± (x² m 9x) dx U sin g product formula i. e = x² ln 9x = x² -In 9x + ln 9xx² dx dx = x² x 9x² In 9x 1 d 9x + ln 9x × 2x In 9x dx + 2x ln 9x Hence f'x == (uv). = 9x² In 9x = uv' + vu' + 2x ln 9x
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