Hello, I would really appreciate if someone can help me with this question. Than

Question

Hello, I would really appreciate if someone can help me with this question. Thank you!

Acrobat Reader File Edit View Window Help 7316 CO Wed May 2 9:38 PM Q 1018-Section 5.9.pdf Home Tools 101B Section 5.9.... Sign In x Export PDF Create PDFv Edit PDF Comment Combine Files Find an equation of the tangent line to the graph of the function at the given point (0, 9) y = 9(cosh x-sinh x) 2. Organize Pages , Fill & Sign Send for Signature Send & Track More Tools Store and share files in the Document Cloud Learn More 8.50 x 11.00 in 2

Explanation / Answer

y = 9(cosh x - sinh x)2

Differentating with respect to x

=> dy/dx = 9 * 2(cosh x - sinh x) * (sinhx - coshx)

=> dy/dx = -2 * 9(cosh x - sinh x)2

=> dy/dx = -2y

Therefore, the slope of the tangent at (0,9)

= -2 * 9

= -18.

Let the equation of the tangent be

y = -18x + c

Since (0,9) is a point,

9 = -18*0 + c

=> c = 9

The equation is y = -18x + 9.

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