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Question 10.1

Solutions

TZ
leumasicOfficial

3 months ago

i)

f(x)=cos(x+x2)(1+2x)f'(x)=\cos(x+x^2)(1+2x)

ii)

f(x)=cosx+cos(x2)2xf'(x)=\cos x+\cos(x^2)2x

iii)

f(x)=cos(cosx)(sinx)f'(x)=\cos(\cos x)(-\sin x)

iv)

f(x)=cos(sinx)cosxf'(x)=-\cos(\sin x)\cos x

v)

f(x)=cos(cosxx)x(sinx)cosxx2f'(x)=\cos\left(\frac{\cos x}{x}\right)\cdot \frac{x(-\sin x)-\cos x}{x^2}

vi)

f(x)=xcos(cosx)(sinx)sin(cosx)x2f'(x)=\frac{x\cos(\cos x)(-\sin x)-\sin(\cos x)}{x^2}

vii)

f(x)=cos(x+sinx)(1+cosx)f'(x)=\cos(x+\sin x)(1+\cos x)

viii)

f(x)=cos(cos(sinx))(sin(sinx))cosxf'(x)=\cos(\cos(\sin x))(-\sin(\sin x))\cos x
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Q 10.1