Question
Download Solution PDFThe equation of the tangent to the curve y = x3 at (1, 1) :
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
The equation of the tangent to a curve y = f(x) at a point (a, b) is given by (y - b) = m(x - a), where m = y'(b) = f'(a) [value of the derivative at point (a, b)].
Calculation:
⇒ y' = f'(x) = 3x2
m = f'(1) = 3 × 12 = 3.
(y - b) = m(x - a)
⇒ (y - 1) = 3(x - 1)
⇒ y - 1 = 3x - 3
Last updated on May 30, 2025
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