Solve 23.8*10^-1a

$$23.8 \times 10 ^ { - 1 } a$$

Evaluate

$$\frac{119a}{50}$$

Solution Steps

Calculate 10 to the power of -1 and get \frac{1}{10}.

$$23.8\times \frac{1}{10}a$$

Multiply 23.8 and \frac{1}{10} to get \frac{119}{50}.

$$\frac{119}{50}a$$

Differentiate w.r.t. a

$$2.38$$

Steps Using Definition of a Derivative

Calculate 10 to the power of -1 and get \frac{1}{10}.

$$\frac{\mathrm{d}}{\mathrm{d}a}(23.8\times \frac{1}{10}a)$$

Multiply 23.8 and \frac{1}{10} to get \frac{119}{50}.

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{119}{50}a)$$

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

$$\frac{119}{50}a^{1-1}$$

Subtract 1 from 1.

$$\frac{119}{50}a^{0}$$

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

$$\frac{119}{50}\times 1$$

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

$$\frac{119}{50}$$