Question #216f6

2 Answers
LM
Feb 5, 2018

#3x^2#

Explanation:

power rule:

#f(x) = x^n#

#f'(x) = nx^(n-1)#

to find the derivative, you multiply #x# by its power, and then subtract #1# from the power itself.

#f(x) = x^3#

#f'(x) = 3x^2#

this means that at point #x#, the gradient of the graph #x^3# is #3x^2#.

Jim G.
Feb 5, 2018

#dy/dx=3x^2#

Explanation:

#"the gradient to a curve at any point x = a is"#

#•color(white)(x)m_(color(red)"tangent")=dy/dx#

#y=x^3rArrdy/dx=3x^2#

#"substituting any given value of x into "dy/dx#
#"gives the gradient at that point"#

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