Solve 1.29/2*0.175x^2=

$$\frac{ 1.29 }{ 2 \cdot 0.175 } { x }^{ 2 } =$$

Evaluate

$$\frac{129x^{2}}{35}$$

Solution Steps

Multiply 2 and 0.175 to get 0.35.

$$\frac{1.29}{0.35}x^{2}$$

Expand \frac{1.29}{0.35} by multiplying both numerator and the denominator by 100.

$$\frac{129}{35}x^{2}$$

Differentiate w.r.t. x

$$\frac{258x}{35}$$

Steps Using Definition of a Derivative

Multiply 2 and 0.175 to get 0.35.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{1.29}{0.35}x^{2})$$

Expand \frac{1.29}{0.35} by multiplying both numerator and the denominator by 100.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{129}{35}x^{2})$$

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

$$2\times \frac{129}{35}x^{2-1}$$

Multiply 2 times \frac{129}{35}.

$$\frac{258}{35}x^{2-1}$$

Subtract 1 from 2.

$$\frac{258}{35}x^{1}$$

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

$$\frac{258}{35}x$$