Home › AP EAMCET › Mathematics › Differentiation Rules › A square root function y = sqrt(x) with x > 0 ha…
A square root function y = sqrt(x) with x > 0 has slope function
A1/sqrt(x)
B2 sqrt(x)
C1/(2 sqrt(x))
Dx^(3/2)/2
Answer & Solution
Correct answer: C. 1/(2 sqrt(x))
Writing sqrt(x) as x^(1/2), the power rule gives (1/2) x^(-1/2).
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