Explain the differences between computing the derivatives of functions that are defined implicitly and explicitly. Select...
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Explain the differences between computing the derivatives of functions that are defined implicitly and explicitly. Select each of the following that correctly describes the differences. A. When computing the derivative of an explicitly defined function y=f(x), the result dy/dx depends only on x. When computing the derivative of an implicitly defined function, the result dy/dx depends only on y. B. To compute the derivative of an explicitly defined function y=f(x), use the rules of differentiation to differentiate y with respect to x. To compute the derivative of any function defined implicitly by an equation, solve the equation for y and then differentiate each term of the resulting function with respect to x to find a single definition of dy/dx. c. When computing the derivative of an explicitly defined function y=f(x), the result dy/dx depends only on x. When computing the derivative of an implicitly defined function, the result dy/dx may depend on both x and y. D. To compute the derivative of an explicitly defined function y=f(x), use the rules of differentiation to differentiate y with respect to x. To compute the derivative of a function defined implicitly by an equation, write the independent variable y as a function of the dependent variable and x, use the chain rule to differentiate each term of the equation with respect to x, and then solve for dy/dx. Explain the differences between computing the derivatives of functions that are defined implicitly and explicitly. Select each of the following that correctly describes the differences. A. When computing the derivative of an explicitly defined function y=f(x), the result dy/dx depends only on x. When computing the derivative of an implicitly defined function, the result dy/dx depends only on y. B. To compute the derivative of an explicitly defined function y=f(x), use the rules of differentiation to differentiate y with respect to x. To compute the derivative of any function defined implicitly by an equation, solve the equation for y and then differentiate each term of the resulting function with respect to x to find a single definition of dy/dx. c. When computing the derivative of an explicitly defined function y=f(x), the result dy/dx depends only on x. When computing the derivative of an implicitly defined function, the result dy/dx may depend on both x and y. D. To compute the derivative of an explicitly defined function y=f(x), use the rules of differentiation to differentiate y with respect to x. To compute the derivative of a function defined implicitly by an equation, write the independent variable y as a function of the dependent variable and x, use the chain rule to differentiate each term of the equation with respect to x, and then solve for dy/dx.
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Related Book For
Calculus Early Transcendentals
ISBN: 978-0321947345
2nd edition
Authors: William L. Briggs, Lyle Cochran, Bernard Gillett
Posted Date:
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