Solve T(7)^2

$$T ( 7 ) ^ { 2 }$$

Differentiate w.r.t. T

$$49$$

Steps Using Definition of a Derivative

Calculate 7 to the power of 2 and get 49.

$$\frac{\mathrm{d}}{\mathrm{d}T}(T\times 49)$$

The derivative of ax^{n} is nax^{n-1}.

$$49T^{1-1}$$

Subtract 1 from 1.

$$49T^{0}$$

For any term t except 0, t^{0}=1.

$$49\times 1$$

For any term t, t\times 1=t and 1t=t.

$$49$$

Evaluate

$$49T$$

Solution Steps

Calculate 7 to the power of 2 and get 49.

$$T\times 49$$