document.write( "Question 62590: what is the dy/dx of the tangent of the function of f(x) = x^3 when x = -1 ? \n" ); document.write( "

Algebra.Com's Answer #43366 by Nate(3500) $\"\"$ $\"About$

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lim(x -> 0) ( f( x + x1 ) - f(x) )/ x1
\n" ); document.write( "lim(x -> 0) ( ( x + x1 )^3 - (x)^3 )/ x1
\n" ); document.write( "lim(x -> 0) ( x^3 + 3x^2(x1) + 3x(x1)^2 + (x1)^3 - x^3 )/ x1
\n" ); document.write( "lim(x -> 0) ( 3x^2(x1) + 3x(x1)^2 + (x1)^3 )/ x1
\n" ); document.write( "lim(x -> 0) (x1)( 3x^2 + 3x(x1) + (x1)^2 )/ x1
\n" ); document.write( "lim(x -> 0) 3x^2 + 3x(x1) + (x1)^2
\n" ); document.write( "lim(x -> 0) ( f( x + x1 ) - f(x) )/ x1 = 3x^2 + 3x(0) + (0)^2 = 3x^2
\n" ); document.write( "f`(x) = 3x^2
\n" ); document.write( "f`(-1) = 3(-1)^2 = 3
\n" ); document.write( " $\"graph%28300%2C300%2C-3%2C3%2C-10%2C10%2Cx%5E3%29\"$ \n" ); document.write( "

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