Asked by saud

Calculate the derivative.?
d/dx ∫ from √x to x^2 tan9tdt =



Use symbolic notation and fractions where needed.

Answers

Answered by Steve
using Leibnitz' Rule,

d/dx ∫(f(t) dt)[a(x),b(x)]

= f(b(x)) db/dx - f(a(x)) da/dx

= tan(9x^2) * 2x - tan(9√x)(1/2√x)

= 2x tan(9x^2) - 1/(2√x) tan(9√x)
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