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Name: Need Solution for R.D.Sharma Maths Class 12 Chapter 15 Tangents and Normals Exercise 15.1 Question 21 Maths Textbook Solution.
Uploaded: Thu, 2021-08-12 17:55
Description: Need Solution for R.D.Sharma Maths Class 12 Chapter 15 Tangents and Normals Exercise 15.1 Question 21 Maths Textbook Solution.

Need Solution for R.D.Sharma Maths Class 12 Chapter 15 Tangents and Normals Exercise 15.1 Question 21 Maths Textbook Solution.

Answers (1)

Answer: The requried point is $(0,0) \text { or }\left(\frac{1}{3}, \frac{1}{27}\right)$

Hint: $\text { The slope of the tangent is the limit of } \frac{\Delta y}{\Delta x} \text { as } \Delta x \text { approaches zero. }$

Given: $\text { The equation of the curve is } y=x^{3} \rightarrow(1)$

Solution: $\text { Differentiating eqn(1) with respect to } x$

$\begin{aligned} &\frac{d}{d x}\left(x^{n}\right)=n x^{n-1}, \frac{d}{d x}(\text { constant })=0 \\ &\frac{d y}{d x}=3 x^{2} \rightarrow(2) \end{aligned}$