Solve 3*2f7^2

$$3 \times 2 f 7 ^ { 2 }$$

Evaluate

$$294f$$

Solution Steps

Multiply 3 and 2 to get 6.

$$6f\times 7^{2}$$

Calculate 7 to the power of 2 and get 49.

$$6f\times 49$$

Multiply 6 and 49 to get 294.

$$294f$$

Differentiate w.r.t. f

$$294$$

Steps Using Definition of a Derivative

Multiply 3 and 2 to get 6.

$$\frac{\mathrm{d}}{\mathrm{d}f}(6f\times 7^{2})$$

Calculate 7 to the power of 2 and get 49.

$$\frac{\mathrm{d}}{\mathrm{d}f}(6f\times 49)$$

Multiply 6 and 49 to get 294.

$$\frac{\mathrm{d}}{\mathrm{d}f}(294f)$$

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

$$294f^{1-1}$$

Subtract 1 from 1.

$$294f^{0}$$

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

$$294\times 1$$

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

$$294$$