Differentiate: 1. y=x7+3x5+1 2. y=x4−x4 3. y=7x2+15 4. f(x)=(2x+1)3 I 5. If f(t)=3t3−2t2, find f′(2) 6. If f(x)=x5/2, what is f′′(4) ? 7. Find the slope of the graph of y=(4−x)5, at x=5 8. Compute dzd(z3−4z2+z−3) and evaluate at z=−2
9. What is the slope of the curve y=(3x−5)1 at x=1 ? Write the equation of the line tangent to this curve at x=1 10. A manufacturer estimates that the hourly cost of producing x units of a product on an assembly line is C(x)=0.1x3−6x2+136x+200 dollars. a) Compute C(21)−C(20), the extra cost of raising the production from 20 to 21 units b) Find the marginal cost when the production level is 20 units
Differentiate: 1. y=x7+3x5+1 2. y=x4−x4 3. y=7x2+15 4. f(x)=(2x+1)3 I 5. If f(t)=3t3−2t2, find f′(2) 6. If f(x)=x5/2,
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Differentiate: 1. y=x7+3x5+1 2. y=x4−x4 3. y=7x2+15 4. f(x)=(2x+1)3 I 5. If f(t)=3t3−2t2, find f′(2) 6. If f(x)=x5/2,
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