Explore BrainMass

Explore BrainMass

    Equations of Tangent lines and Intercepts in Terms of a Variable

    Not what you're looking for? Search our solutions OR ask your own Custom question.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    Let f(x) = a(7-x^2) where a is not equal 0

    (a) find, in terms of a, the equation of the line tangent to the curve at x = -1 (use point slope)

    (b) find, in terms of a, the y intercept of the tangent line at x = -1

    (c) find the x intercept of the tangent line at x=-1

    © BrainMass Inc. brainmass.com November 30, 2021, 12:40 am ad1c9bdddf
    https://brainmass.com/math/calculus-and-analysis/equations-tangent-lines-intercepts-terms-variable-53815

    Solution Preview

    Let f(x) = a(7-x^2) where a is not equal 0

    (a) find, in terms of a, the equation of the line tangent to the curve at x = -1 (use pt slope)

    Solution. Since f'(x)=-2ax, the slope at x=-1 is given by
    f'(-1)=-2a*(-1)=2a
    When x=-1, then ...

    Solution Summary

    This solution provides equations of tangent lines and intercepts that are expressed in terms of a variable. The solution is detailed and well presented.

    $2.49

    ADVERTISEMENT