document.write( "Question 801702: Find the equation for the tangent line to the function f(x) = 4x3+3x2+5x+6 when x = 2.
\n" ); document.write( "Put your answer in slope intercept (y= mx+ b) format, and use it to identify the y-intercept for this line.
\n" ); document.write( " The y-intercept for the tangent line to the function f(x) = 4x3+3x2+5x+6 when x = 2 is ________________________? \n" ); document.write( "
Algebra.Com's Answer #483691 by Cromlix(4381)\"\" \"About 
You can put this solution on YOUR website!
Substituting x = 2 into the equation
\n" ); document.write( "gives a y coordinate of 60.
\n" ); document.write( "4x3+3x2+5x+6
\n" ); document.write( "Differentiate:
\n" ); document.write( "12x^2 + 6x + 5
\n" ); document.write( "Substitute x = 2
\n" ); document.write( "gradient = 65
\n" ); document.write( "Equation of tangent
\n" ); document.write( "y = 65x + c
\n" ); document.write( "Using (2,60)
\n" ); document.write( "60 = 65*2 + c
\n" ); document.write( "c = 60 - 130
\n" ); document.write( "c = - 70
\n" ); document.write( "Equation of tangent =
\n" ); document.write( "y = 65x - 70
\n" ); document.write( "Hope this helps.
\n" ); document.write( ":-) \n" ); document.write( "
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