Important Questions of Application of Derivatives Mathematics | Zigya

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 Multiple Choice QuestionsShort Answer Type

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51.

Find the points on the curve y = x3 at which the slope of the tangent is equal to the y-coordinate of the point.

 
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52. Find the slope of the tangent to the curve x = at2, y = 2at at  t = 1.
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53.

Find the slope of the tangent to the curve y = x3 – x at x = 2.

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54.

Find the slope of the tangent to the curve y = 3x4 – 4x  at (i) x = 1 (ii) x = 4.

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55.

Find the slope of the tangent to the curve straight y space equals fraction numerator straight x minus 1 over denominator straight x minus 2 end fraction comma space space space straight x not equal to space 2 space space at space straight x space equals space 10.

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56. For the curve y = 3x2 + 4 x , find the slope of the tangent to the curve at the point whose x-coordrnate is – 2.
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57. Find the slope of the tangent to the curve y = x3 – x + 1 at the point whose x-coordmate is 2.
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58.

Find the slope of the tangent to the curve y = x3 – 3x + 2 at the point whose. x-coordinate is 3. 

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59.

Find the slope of the normal to the curve straight x equals space straight a space cos cubed straight theta comma space space space straight y space equals space straight a space sin cubed straight theta space space space at space straight theta space equals space straight pi over 4.

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60.

Find the slope of the normal to the curve straight x space equals space 1 minus straight a space sin space straight theta comma space space space straight y space equals space space straight b space cos squared straight theta space space at space straight theta space equals space straight pi over 2.

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