Solve T+0*3*7

$$T+0 \cdot 3 \cdot 7$$

Evaluate

$$T$$

Solution Steps

Multiply 0 and 3 to get 0.

$$T+0\times 7$$

Multiply 0 and 7 to get 0.

$$T+0$$

Anything plus zero gives itself.

$$T$$

Differentiate w.r.t. T

$$1$$

Steps Using Definition of a Derivative

Multiply 0 and 3 to get 0.

$$\frac{\mathrm{d}}{\mathrm{d}T}(T+0\times 7)$$

Multiply 0 and 7 to get 0.

$$\frac{\mathrm{d}}{\mathrm{d}T}(T+0)$$

Anything plus zero gives itself.

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

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

$$T^{1-1}$$

Subtract 1 from 1.

$$T^{0}$$

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

$$1$$