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Find the equation of tangent and normal to :
Parbola `y^2=16x` at the point `(1,4)`

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To find the equations of the tangent and normal to the parabola \( y^2 = 16x \) at the point \( (1, 4) \), we will follow these steps: ### Step 1: Differentiate the equation of the parabola We start with the equation of the parabola: \[ y^2 = 16x \] To find the slope of the tangent, we need to differentiate both sides with respect to \( x \). ...
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MAHAVEER PUBLICATION-DIFFERENTIATION OR DERIVATIVE OF A FUNCTION-QUESTION BANK
  1. Find the equation of tangent and normal to : The curve y=2x^2-4x+3 at ...

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  2. Find the equation of tangent and normal to the parabola y^(2)=4ax at t...

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  3. Find the equation of tangent and normal to : Parbola y^2=16x at the po...

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  4. Find the equation of the tangent to the curve y=sqrt(3x-2) which is...

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  5. Find the equation of the normal to the curve 3x^2-y^2=8 which are para...

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  6. Find the equation of the tangent line to the curve y=x^2-2x+7 which...

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  7. Find the equations of tangent and normal to the curve at the point whe...

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  8. Prove that the sum of the x and y intercepts made by the tangent to th...

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  9. Find (d^2y)/dx^2 if: y=secx-tanx

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  10. Find (d^2y)/dx^2 if: y=x^2cosx

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  11. Find (d^2y)/dx^2 if: sinx+cosy=1

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  12. Find (d^2y)/dx^2 if: y^2=a^2cos^2x+b^2sin^2x

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  13. Find (d^2y)/dx^2 if: x^3+y^3-3axy=0

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  14. If xsqrt(1-y^2)+ysqrt(1-x^2)=0, find the value of (d^2y)/dx^2 when y=1

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  15. If sqrty+1/sqrty=2x, show that (x^2-1)y2+xy1-4y=0

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  16. Without using derivative, find the maximum value and the minimum value...

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  17. Without using derivative, find the maximum value and the minimum value...

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  18. Without using derivative, find the maximum value and the minimum value...

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  19. Find the local maximum, the local minimum values, if any, using first ...

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  20. Find the local maximum, the local minimum values, if any, using first ...

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