Chain rule
Differentiation · Mathematics
Study notes
Q: Differentiate: (a) sin(x²) (b) (3x+1)⁵ (c) e^(sinx). (a) Outer sin, inner x²: cos(x²)·2x. (b) 5(3x+1)⁴·3 = 15(3x+1)⁴. (c) e^(sinx)·cosx.
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Differentiation · Mathematics
Q: Differentiate: (a) sin(x²) (b) (3x+1)⁵ (c) e^(sinx). (a) Outer sin, inner x²: cos(x²)·2x. (b) 5(3x+1)⁴·3 = 15(3x+1)⁴. (c) e^(sinx)·cosx.