document.write( "Question 1110067: Let F(x)=f(x^5) and G(x)=(f(x))^5. You also know that a^4=10,f(a)=3,
\n" ); document.write( "f′(a)=3,f′(a^5)=8.
\n" ); document.write( "Find F′(a) and G'(a).\r
\n" ); document.write( "\n" ); document.write( "I know that derivative of x^5 is 5x^4, but I don't know where to start. Please help! \n" ); document.write( "
Algebra.Com's Answer #725213 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
\r\n" );
document.write( "F(x) = f(x5)\r\n" );
document.write( "\r\n" );
document.write( "Using the chain rule:\r\n" );
document.write( "\r\n" );
document.write( "F'(x) = f'(x5)∙5x4\r\n" );
document.write( "\r\n" );
document.write( "F'(a) = f'(a5)∙5a4\r\n" );
document.write( "\r\n" );
document.write( "F'(a) = 8∙5∙10\r\n" );
document.write( "\r\n" );
document.write( "F'(a) = 400\r\n" );
document.write( "\r\n" );
document.write( "-----------------------\r\n" );
document.write( "\r\n" );
document.write( "G(x) = [f(x)]5\r\n" );
document.write( "\r\n" );
document.write( "Using the chain rule:\r\n" );
document.write( "\r\n" );
document.write( "G'(x) = 5∙[f(x)]4∙f'(x)\r\n" );
document.write( "\r\n" );
document.write( "G'(a) = 5∙[f(a)]4∙f'(a)\r\n" );
document.write( "\r\n" );
document.write( "G'(a) = 5∙34∙3\r\n" );
document.write( "\r\n" );
document.write( "G'(a) = 1215\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );