Find the Derivative - d/dt 6t^2

Problem

(d(6)*t2)/d(t)

Solution

1. Identify the constant and the power of the variable t in the expression 6*t2

2. Apply the constant multiple rule, which states that (d(c)*ƒ(t))/d(t)=cd(ƒ(t))/d(t)

3. Apply the power rule, which states that d(tn)/d(t)=n*t(n−1)

4. Multiply the constant 6 by the exponent 2 and decrease the exponent by 1

6⋅2*t(2−1)

5. Simplify the resulting expression.

12*t1=12*t

Final Answer

(d(6)*t2)/d(t)=12*t

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