Find dx/dt x=4t^2+t

Problem

d(x)/d(t)* for *x=4*t2+t

Solution

1. Identify the function to be differentiated with respect to the variable t

2. Apply the power rule to the first term, 4*t2 The power rule states that d(tn)/d(t)=n*t(n−1)

3. Differentiate the second term, t which has a derivative of 1 with respect to t

4. Combine the results to find the final derivative.

Final Answer

d(x)/d(t)=8*t+1

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