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,
Posted: Thu Jul 14, 2022 4:26 pm
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
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