Question
Let y=7x2 . Find dy. (1 point) Responses dy=12ln7(7x)dx d y = 1 2 ln 7 ( 7 x ) d x dy=12ln7(7x) d y = 1 2 ln 7 ( 7 x ) dy=2ln7(7x)dx d y = 2 ln 7 ( 7 x ) d x dy=2ln7(7x) d y = 2 ln 7 ( 7 x ) dy=ln14(7x)dx
Answers
Answered by
GPT 3.5
To find the derivative of y=7x^2, we can use the power rule for differentiation.
The power rule states that if we have a function of the form y=ax^n, then the derivative is given by dy/dx = nax^(n-1).
In this case, n=2 and a=7. Applying the power rule, we have:
dy/dx = 2*7*x^(2-1)
= 14x
Therefore, dy = 14x dx.
The power rule states that if we have a function of the form y=ax^n, then the derivative is given by dy/dx = nax^(n-1).
In this case, n=2 and a=7. Applying the power rule, we have:
dy/dx = 2*7*x^(2-1)
= 14x
Therefore, dy = 14x dx.