Calculus and vectors (DERIVATIVE RULES)

Please show all steps/work

1. Find h '(-1) forh(x)=(5x3+7x2+3)(2x2+x+6)

2. Forh(x)=(x2+3x+5)6 find h '(x)

Do not simplify.

3. Determine the equation of the tangent of the curve: y=(x35x+2)(3x22x) at point(1,2)

4. Determine the derivative ofh(x)=x2+53x4

5. Use the quotient rule to differentiate each function:

a)h(x)=x+1x b)y=1x2x(3x+5) c)h(t)=t+52t3 d)h(x)=x2+31

6. Differentiate each function. Express the answer in a simplified factored form.

a)y=(x2+3)3(x3+3)2 b)h(x)=x3(3x5)2