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The gradient of the curve y=x^3-3x^2-2x+...

The gradient of the curve `y=x^3-3x^2-2x+7` at (1,3) is

A

3

B

-4

C

-5

D

7

Text Solution

Verified by Experts

The correct Answer is:
C
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Knowledge Check

  • A : The gradiant of the curve y=x^3-3x^2-2x+7 at (1,3) is -5. R : The gradiant of the curve y=f(x) "at" P "is" ((dy)/(dx))_p

    A
    A and R are true and R is the correct explanation of A
    B
    A and R are true and R is not correct explanation of A
    C
    A is true but R is false
    D
    A is false but R is true

  • The equation of the tangent to the curve y=x^3-2x+7 at (1,6) is

    A
    `y=x+5`
    B
    `x+y=7`
    C
    `2x+y=8`
    D
    `x+2y=13`

  • The equation of the tangent to the curve y=x^3-2x+7 at (x_1,y_1) is

    A
    `(x x_1)/a+(yy_1)/b=1`
    B
    `(x x_1)/a-(yy_1)/b=1`
    C
    `(x x_1)/a^2+(yy_1)/b^2=1`
    D
    `(x x_1)/a^2-(yy_1)/b^2=1`

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