F(x) = ∫(0->x²) e^(-t²) dt
F'(x) = d(x²)/dx * e^[-(x²)²] - d(0)/dx * e^(-0²)
= 2x * e^(-x^4) - 0
= 2x * e^(-x^4)
F'(2)
= 2(2) * e^(-2^4)
= 4 * e^(-16)
= 4/e^16
F(x) = ∫(0->x²) e^(-t²) dt
F'(x) = d(x²)/dx * e^[-(x²)²] - d(0)/dx * e^(-0²)
= 2x * e^(-x^4) - 0
= 2x * e^(-x^4)
F'(2)
= 2(2) * e^(-2^4)
= 4 * e^(-16)
= 4/e^16