d/dx [(x² + 5x + 6)/(x + 3)] =
If y = |x − 1| + |x − 3|, then (dy/dx) at x = 2 is:
If y = sin⁻¹(x²), then dy/dx =
Find dy/dx if y = √(sin x + √(sin x + √(sin x + …)))
lim(δx→0) [f(x + δx) − f(x)]/δx =
Differentiate the following with respect to x: y = √(sin 5x)
lim(x→a) [f(x) − f(a)]/(x − a) =
Find dy/dx if y = x²e^(√(x sin x))
What is the value of d⁴y/dx⁴ for y = sin(ax + b)?
Let y = x/(1 + x²) − tan⁻¹(x) Then dy/dx =
Given that y = x³, find the approximate change in y if x increases from 2 to 2.01.
If y = ln(1 + cos x), find dy/dx.
Given that y = x³, find the approximate change in x if y decreases from 27 to 26.73.
Given that y³ = x² + 1, find the change in x if y increases from 2 to 2.1.
If y = e^(sin x + 1), then dy/dx =
