Find dx/dt x=4t

Problem

d()/d(t)*(4*t)

Solution

1. Identify the variable of differentiation, which is t and the function to be differentiated, which is x=4*t

2. Apply the power rule for differentiation, which states that d(tn)/d(t)=n*t(n−1) In this case, n=1

3. Differentiate the expression by multiplying the constant coefficient by the derivative of the variable.

4. Simplify the result to find the final derivative.

Final Answer

d(x)/d(t)=4

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