Determine ( d dx [ (e^ 4x^ 3 ) ]

MATHEMATICS · Single correct · A Level · Mathematics · Differentiation · Differentiation

Problem

Determine ddx[cos⁡(e4x3)].\dfrac{d}{dx}\bigl[\cos\bigl(e^{4x^{3}}\bigr)\bigr]. (a) 12x2e4x3sin⁡(e4x3)12x^{2}e^{4x^{3}}\sin\bigl(e^{4x^{3}}\bigr) (b) −12x2e4x3cos⁡(e4x3)-12x^{2}e^{4x^{3}}\cos\bigl(e^{4x^{3}}\bigr) (c) −12x2e4x3sin⁡(e4x3)-12x^{2}e^{4x^{3}}\sin\bigl(e^{4x^{3}}\bigr) (d) −sin⁡(e4x3)-\sin\bigl(e^{4x^{3}}\bigr)

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