(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find the equation of the tangent to the curve y = x^{2}(x + 1)^{4}at the point P(1,16)

2. Relevant equations

3. The attempt at a solution

dy/dx x^{2}(x + 1)^{4}

= (x + 1)^{3}((x + 1)2x + 4x^{2})

= (x + 1)^{3}(6x^{2}+ 2x)

= (x + 1)^{3}(2x)(3x + 1)

Subst. 1 in to find grad.

(1 + 1)^{3}(2)(3 + 1)

= 64

Seems wrong..

y - 16 = 64(x - 1)

y = 64x - 48

I think it's probably wrong, just so confused - can someone give me a hand please? Much appreciated

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# Homework Help: Differentiation and finding tangent

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