document.write( "Question 197103: Find the approximate value of the tangent to the following functions at the given x-value. Use the algebraic method.
\n" ); document.write( "a.y = 1/x at x = 1
\n" ); document.write( "b.y = 3cos3x at x = 3
\n" ); document.write( "c.y = x^3 + 2 at x = 4
\n" ); document.write( "d.y = 3^x at x = 4
\n" ); document.write( " \n" ); document.write( "
Algebra.Com's Answer #147771 by Alan3354(69443)\"\" \"About 
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Find the approximate value of the tangent to the following functions at the given x-value. Use the algebraic method.
\n" ); document.write( "a.y = 1/x at x = 1
\n" ); document.write( "b.y = 3cos3x at x = 3
\n" ); document.write( "c.y = x^3 + 2 at x = 4
\n" ); document.write( "d.y = 3^x at x = 4
\n" ); document.write( "----------------
\n" ); document.write( "What is \"the value of the tangent\"???
\n" ); document.write( "-------------
\n" ); document.write( "Maybe you mean the slope? I can do that.
\n" ); document.write( "a.y = 1/x at x = 1
\n" ); document.write( "y' = -1/x^2
\n" ); document.write( "at x=1: m = -1
\n" ); document.write( "-----------------
\n" ); document.write( "b.y = 3cos3x at x = 3
\n" ); document.write( "y' = -9sin(3x)
\n" ); document.write( "at x=3: m = -9*sin(9) (radians)
\n" ); document.write( "m = ~ -3.709
\n" ); document.write( "----------------
\n" ); document.write( "c.y = x^3 + 2 at x = 4
\n" ); document.write( "y' = 3x^2
\n" ); document.write( "at x = 4 m = 48
\n" ); document.write( "-------------------
\n" ); document.write( "d.y = 3^x at x = 4
\n" ); document.write( "y' = 3x^2
\n" ); document.write( "at x = 4 m = 48 \n" ); document.write( "
\n" );