Try another version of this question
If ` f(x) = \sin(x^( 3 ) ) `, find ` f'( x ) `
` f'( x ) =`
Find ` f'( 1 ) `
` f'( 1 ) =`
To solve this problem, you'll need to apply the chain rule. Remember, when differentiating a composite function like `\sin(x^3)`, you'll need to differentiate the outer function (sine) and multiply it by the derivative of the inner function (`x^3`). Pay attention to how you differentiate the power function inside.
Get help:
Box 1: Enter your answer as an expression. Example: 3x^2+1, x/5, (a+b)/c
Be sure your variables match those in the question
`(cos(x^3))(3x^2)`
Box 2: Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4)
Enter DNE for Does Not Exist, oo for Infinity
1.6209069176044