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coolbeans33
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I need to find the derivative of R(t)=5t-3/5
are there any derivative rules I can use for this problem?
are there any derivative rules I can use for this problem?
coolbeans33 said:I need to find the derivative of R(t)=5t-3/5
are there any derivative rules I can use for this problem?
coolbeans33 said:so the answer is -3t-1.6?
To find the derivative of a function with a fractional exponent, you can use the power rule. This rule states that for a function f(x) = x^(a/b), the derivative is (a/b)x^(a/b-1). You can also rewrite the function as a rational exponent and then use the chain rule to find the derivative.
The power rule is a derivative rule that states that for a function f(x) = x^n, the derivative is nx^(n-1). This rule can also be extended to functions with fractional exponents, as stated in the previous answer.
No, the power rule can only be used for functions with a single variable raised to a constant fractional exponent. If the exponent contains variables, you may need to use the chain rule or other derivative rules.
Yes, in addition to the power rule, you can also use the quotient rule or logarithmic differentiation to find derivatives of functions with fractional exponents. Which rule you use will depend on the specific function and its exponent.
Yes, when finding the derivative of a function with a fractional exponent, you should first rewrite the function using the rules of exponents. Then, you can use the appropriate derivative rule (power rule, quotient rule, etc.) to find the derivative. Finally, simplify the result if possible.