Evaluate - limh - 0a-h2 sin a-h -a2 sin ah

lim_h→ 0(a+h)^2sin(a+h) a^2sinah =lim_h→ 02(a+h)sin(a+h)+(a+h)^2cos(a+h)1 =2asina+a^2cosa ...

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Derivative of Standard Functions

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Question

Evaluate : $l i m_{h \to 0} \frac{(a + h)^{2} s i n (a + h) - a^{2} s i n a}{h}$

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l i m h \to 0 \frac{(a + h)^{2} s i n (a + h) - a^{2} s i n a}{h}

lim h \to 0 \frac{(a + h)^{2} sin (a + h) - a^{2} sin a}{h}

lim h \to 0 \frac{(a + h)^{2} sin (a + h) - a^{2} sin a}{h}

{lim}_{h \to 0} \frac{(a + h)^{2} s i n (a + h) - a^{2} s i n a}{h} =

lim h \to 0 \frac{{(a + h)}^{2} sin (a + h) - a^{2} sin a}{h}

a (a cos a + b sin a) .

b

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