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Scoped to Tangents

30 matching questions

Tangents

Practice · 30 questions

  1. Direct polynomial tangent

    Find the equation of the tangent to y=3x2−2x+1y=3x^2-2x+1 at x=−1x=-1.
    Question 13 marksAlgebraicNot attempted
    Open question

  2. Direct polynomial tangent

    Determine the tangent to y=2x3−x+5y=2x^3-x+5 where x=0x=0.
    Question 23 marksAlgebraicNot attempted
    Open question

  3. Direct polynomial tangent

    Find the tangent to y=x4+x2−3x+2y=x^4+x^2-3x+2 at x=1x=1.
    Question 33 marksAlgebraicNot attempted
    Open question

  4. Negative leading coefficient

    Obtain the tangent to y=−x3+3x2+2y=-x^3+3x^2+2 at x=1x=1.
    Question 43 marksAlgebraicNot attempted
    Open question

  5. Fractional intercept

    Find the tangent to y=12x4−3xy=\frac12x^4-3x at x=−1x=-1.
    Question 54 marksAlgebraicNot attempted
    Open question

  6. Supplied contact point

    The point (2,18)(2,18) lies on y=2x3+x2−3x+4y=2x^3+x^2-3x+4. Determine the tangent there.
    Question 63 marksAlgebraicNot attempted
    Open question

  7. Negative contact value

    Find the tangent to y=x4−4x2+1y=x^4-4x^2+1 at x=−1x=-1.
    Question 74 marksAlgebraicNot attempted
    Open question

  8. Descending quadratic

    Find the tangent to y=4−2x−x2y=4-2x-x^2 where x=−2x=-2.
    Question 83 marksAlgebraicNot attempted
    Open question

  9. Zero curve value

    Determine the tangent to y=3x3+2x2−5y=3x^3+2x^2-5 at x=1x=1.
    Question 93 marksAlgebraicNot attempted
    Open question

  10. Quartic with negative gradient

    Find the tangent to y=−2x4+x2+6y=-2x^4+x^2+6 at x=1x=1.
    Question 104 marksAlgebraicNot attempted
    Open question

  11. Negative contact value

    Obtain the tangent to y=x3+6x2+3y=x^3+6x^2+3 where x=−2x=-2.
    Question 114 marksAlgebraicNot attempted
    Open question

  12. Multi-term quartic

    Find the tangent to y=2x4−5x2+xy=2x^4-5x^2+x at x=−1x=-1.
    Question 124 marksAlgebraicNot attempted
    Open question

  13. Simplify before differentiating

    For x≠0x\ne0, find the tangent to y=x3+2x2−3xxy=\frac{x^3+2x^2-3x}{x} at x=2x=2.
    Question 134 marksAlgebraicNot attempted
    Open question

  14. Fractional contact coordinate

    Determine the tangent to y=2x3−x2+1y=2x^3-x^2+1 at x=12x=\frac12.
    Question 145 marksAlgebraicNot attempted
    Open question

  15. Direct polynomial with negative gradient

    Find the tangent to y=3x4−2x3+x−5y=3x^4-2x^3+x-5 at x=−1x=-1.
    Question 154 marksAlgebraicNot attempted
    Open question

  16. Fractional coefficient and intercept

    Find the tangent to y=13x3−2x2+5x−1y=\frac13x^3-2x^2+5x-1 at x=2x=2.
    Question 164 marksAlgebraicNot attempted
    Open question

  17. Fractional gradient

    Obtain the tangent to y=16x3+x2−2xy=\frac16x^3+x^2-2x at x=−1x=-1.
    Question 175 marksAlgebraicNot attempted
    Open question

  18. Multi-term odd-power polynomial

    Determine the tangent to y=5−3x+2x3−x5y=5-3x+2x^3-x^5 at x=−1x=-1.
    Question 184 marksAlgebraicNot attempted
    Open question

  19. Linear-inside composite

    Find the tangent to y=(x−2)3+1y=(x-2)^3+1 at x=3x=3.
    Question 194 marksAlgebraicNot attempted
    Open question

  20. Scaled linear-inside composite

    Find the tangent to y=(3x+2)2−5xy=(3x+2)^2-5x at x=0x=0.
    Question 204 marksAlgebraicNot attempted
    Open question

  21. Decreasing composite

    Determine the tangent to y=(3−x)4y=(3-x)^4 at x=2x=2.
    Question 214 marksAlgebraicNot attempted
    Open question

  22. High-degree direct polynomial

    Find the tangent to y=2x5−5x3+4x2−7y=2x^5-5x^3+4x^2-7 at x=−1x=-1.
    Question 225 marksAlgebraicNot attempted
    Open question

  23. Cubic composite

    Obtain the tangent to y=(2x2−x)3y=(2x^2-x)^3 at x=1x=1.
    Question 235 marksAlgebraicNot attempted
    Open question

  24. Quadratic-inside composite

    Find the tangent to y=(x2−3x+4)2y=(x^2-3x+4)^2 at x=1x=1.
    Question 245 marksAlgebraicNot attempted
    Open question
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