document.write( "Question 828628: What is the slope of the line tangent to the curve at a given value of x?
\n" ); document.write( " f(x)= 8x^2 + 5x at x= 3 \n" ); document.write( "
Algebra.Com's Answer #499419 by TimothyLamb(4379)\"\" \"About 
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\n" ); document.write( "differentiate f(x):
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\n" ); document.write( "f'(x) = 8*2x + 5
\n" ); document.write( "f'(x) = 16x + 5
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\n" ); document.write( "at x=3
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\n" ); document.write( "f'(3) = 16*3 + 5
\n" ); document.write( "f'(3) = 53
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\n" ); document.write( "answer:
\n" ); document.write( "the slope of the tangent at x=3 is: 53
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