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Differentiation
14740 Derivatives using product rule, quotient rule, or chain rule. Find the derivative of each expression, using the product rule, quotient rule, or chain rule.
1. P= e^(2x)/x
2. B= square root of sin * square root of x
3.
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Derivatives, Product Rule, Quotient Rule, and Composite Rule
545119 Derivatives, Product Rule, Quotient Rule, and Composite Rule In each of the following parts, you should simplify your answers where it is appropriate to do so.
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Derivatives : Product and Quotient Rules
117983 Derivatives : Product and Quotient Rules 1.
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14 Derivative Problems : Product Rule, Quotient Rule, Chain Rule, First and Second Derivative and Finding Maximum or Minimum
Fourteen derivative problems are solved regarding Product Rule, Quotient Rule, Chain Rule, First and Second Derivative and Finding Maximum or Minimum. The solution is detailed and well presented.
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Calculus problems with differentiation and integration
568601 Calculus problems with differentiation and integration This solution shows how to solve for various calculus problems, including differentiation of functions using the product rule, the quotient rule, and the chain rule, as well as how to calculate
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Partial derivatives
Find the indicated partial derivatives.
1.) f(x,y)= sin(y-x); df/dx(3,3)
Using the chain rule,
Therefore, at (x, y) =(3, 3),
2.)z= (x^3 + y^3)/(x^2 + y^2); dz/dx, dz/dy
Using chain rule and quotient rule,
Similar to x, we find the
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Calculus
346226 Calculus: Derivatives Example Find the point(s) on the graph where the tangent line is horizontal...
50. Extend the product rule for differentiation to the following case involving the product of three differentiable functions...
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First and second derivatives of the function y=((1-x)/x^2)^3
Y = [(1-x)/x2]^3
First derivative (remember d/dx (a^n) = n a^(n-1)
dy/dx = 3 [(1-x)/x2]2 {d/dx (1-x)/x2}
We need to calculate d/dx (1-x)/x2, for this, use the quotient rule or the product rule (this is simple)
Take (1-x) as first function and
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Derivatives, tangents, marginal cost
This shows how to find a derivative, the number of horizontal tangents for a given polynomial, and marginal cost.