Solve t^6*2t

$$t ^ { 6 } \times 2 t$$

Differentiate w.r.t. t

$$14t^{6}$$

Steps Using Definition of a Derivative

To multiply powers of the same base, add their exponents. Add 6 and 1 to get 7.

$$\frac{\mathrm{d}}{\mathrm{d}t}(t^{7}\times 2)$$

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

$$7\times 2t^{7-1}$$

Multiply 7 times 2.

$$14t^{7-1}$$

Subtract 1 from 7.

$$14t^{6}$$

Evaluate

$$2t^{7}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 6 and 1 to get 7.

$$t^{7}\times 2$$