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For the curve y=4x^3-2x^5, find all the ...

For the curve `y=4x^3-2x^5,` find all the points at which the tangents pass through the origin.

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Solution:
The equation of the given curve is `y=4x^3−2x ^5`
. Differentiating w.r.t. x, we get
⇒`(dy)/dx=12x^2−10x^4`
Let P(x1 ,y1 ) be the point on the curve at which tangent passes through the origin.
...
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NCERT ENGLISH-APPLICATION OF DERIVATIVES-EXERCISE 6.3
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  17. Find the equation of the tangent to the curve y=sqrt(3x-2) which is...

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  19. The line y = x + 1is a tangent to the curve y^2=4xat the point(A) (1...

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