Let . (i) Differentiate to obtain . (ii) Verify that . (iii) Hence, write the…

MATHEMATICS · Subjective · A Level · Mathematics · Differentiation · Differentiation

Problem

Let g(x)=x2tan⁡x+5xsec⁡x−7g(x)=x^{2}\tan x+5x\sec x-7. (i) Differentiate g(x)g(x) to obtain g′(x)g'(x). (ii) Verify that g′(0)=5g'(0)=5. (iii) Hence, write the equation of the tangent to the curve y=g(x)y=g(x) at the point where x=0x=0.

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