Turunan dari F(x)= 2x^2 / sin x berapa, jika F'(45°) = ??
DB45
F(x) = (2x²) (sin x)⁻¹ f' (x) = 4 sin⁻¹ x + (2x²)(- sin⁻² x cos x) f '(x) = 4/sin x + 2x². cos x / sin² x f '(x) = 4 cosec x + 2x². cot x . cosec x f '(x) = cosec x ( 4 + 2x². cot x) 45⁰ = π/4 f '(x) = cosec π/4° ( 4 + 2(π/4) cot π/4} f '(x) = 1/(1/2 √2) [ 4 + π/2 (1)] f '(x)=. √2 ( 4 + π/2)
f' (x) = 4 sin⁻¹ x + (2x²)(- sin⁻² x cos x)
f '(x) = 4/sin x + 2x². cos x / sin² x
f '(x) = 4 cosec x + 2x². cot x . cosec x
f '(x) = cosec x ( 4 + 2x². cot x)
45⁰ = π/4
f '(x) = cosec π/4° ( 4 + 2(π/4) cot π/4}
f '(x) = 1/(1/2 √2) [ 4 + π/2 (1)]
f '(x)=. √2 ( 4 + π/2)