Home › AP EAMCET › Mathematics › Differentiation Rules › A cell count follows y = e^(3x). The count chang…
A cell count follows y = e^(3x). The count changes at the rate
A3 e^x
Be^(3x)
C3x e^(3x)
D3 e^(3x)
Answer & Solution
Correct answer: D. 3 e^(3x)
The chain rule gives e^(3x) times the derivative of 3x, which is 3.
Related questions
Near a point, the derivative supplies which kind of approximation of the function?For f(x) = 2x^3 - 5x + 1, the slope at x = 1 isRewriting 1/x^2 as x^(-2), its derivative becomesFor positive x, the product x^3 ln x has slope functionThe curve y = x e^x has slope at the origin equal toSquaring the sine, y = sin^2 x, gives a slope function equal toThe common logarithm y = log10 x, for x > 0, has slope functionA bell-type curve y = e^(x^2) changes with x at the rate