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Find the equation of the normals to the curve y = `x^(3)` + 2x + 6 which are parallel to the line x + 14y + 4 = 0.

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CENGAGE-APPLICATION OF DERIVATIVES-Examples
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  2. The equation of the tangent tothe curve y={x^2 sin(1/x),x!=0 and 0, x...

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  3. Find the equation of the normals to the curve y = x^(3) + 2x + 6 which...

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  4. If the equation of the tangent to the curve y^2=a x^3+b at point (2,3)...

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  5. For the curve y = 4x^(3) – 2x^(5) , find all the points at which the t...

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  6. For the curve x y=c , prove that the portion of the tangent intercepte...

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  7. If the tangent at any point (4m^2,8m^3) of x^3-y^2=0 is a normal to th...

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  8. Find the equation of tangents to the curve y = cos(x + y), – 2pi lt=...

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  9. Find the equations of the tangents drawn to the curve y^2-2x^3-4y+8=0.

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  10. Find the acute angle between the curves y=|xhat2-1|a n d y=|x^2-3| at ...

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  11. Find the angle between the curves 2y^2=x^3a n dy^2=32 xdot

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  12. Find the cosine of the angle of intersection of curves f(x)=2^x(log)e ...

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  13. The length of subtangent to the curve, y=e^(x//a) is

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  14. Find the length of normal to the curve x=a(theta+sintheta),y=a(1-costh...

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  15. In the curve x^(m+n)=a^(m-n)y^(2n) , prove that the m t h power of the...

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  16. Find the possible values of p such that the equation p x^2=(log)e x ha...

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  17. Find the shortest distance between the line y=x-2 and the parabola y=x...

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  18. about to only mathematics

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  19. Prove that points of the curve y^2=4a{x+asin(x/a)} at which tangents a...

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  20. Displacement s of a particle at time t is expressed as s=1/2t^3-6tdot ...

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