double derrivative of secx-tanx
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Answer:
secx
Step-by-step explanation:
y = secx - tanx
dy/dx = secxtanx-sec^2x
dy/dx = secx(tanx-secx) = ysecx
d2y/dx2 = ysecxtanx + dy/dx (secx)
= secx ( ytanx+ dy/dx)
= secx ( ytanx+ysecx )
= ysecx ( secx+tanx)
= ysecx (1/secx-tanx)
= ysecx×1/y
d2y/dx2= secx
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Step-by-step explanation:
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