Question

find d^2y/dx^2 for y=sec(x)

I l homework 3/8 Home-work-3: Problem 8 Previous Problem Problem List Next Problem (2 points) Find the equation of the line that is tangent to the curve 3. COS at the point (1, -31). The equation of this tangent line can be written in the form y = mx + b where n = and b Note: You can earn partial credit on this problem Preview My Answers Submit Answers You have attempted this problem 0 times. You have 5 attempts remaining. Email instructor

Answer 1

problems Given curve and Point (1, -37). y=32cosa Now, Y & 3acosa warnt y Differentiate ay x d (3acosx] dia 31a (eosx)+coseala]. dy =.-Basina + 3 cosa slope lm) s last da = -3 11 sinil +3 cosu DT 31 slope (m) a-3 Aquation of tangent line at L1,- 377) with

slope lm)=-3 کن y-L-30) = -3(2-t) => y=-3a etzt-34 => y=-3a Compare with yamxtb. Then me-3 and bso Answer ma-3 and оо

Problemet aiven flx) = 360 tab f (x) = => flase dent Is Now, fll) = 3 eatab Differentiate word x (3e8+2b) 1320) => flac)=3e²+625 -- Pleale se" +625 f(x)= 30* + bas Answer Given y = seca Nolo, ya secx Differentiate word "x" dy वत्र = a (seca) - de la seca. Tiana Again differentiate wafet & gdy del secx Tana] dae do secx & (Tanaht Tana 2 (seca) szy & seca.sechat Tann- secr-Tana da?

azy dae & secalit Tan²x) a seca. Ton²x dzy dxe s secate secx Pama gy secal 1+2 Tansal Answer daze vero