Solve 3,4*0,6x+0,4xdiv0,01

$$3,4 \times 0,6 x + 0,4 x \div 0,01$$

Evaluate

$$\frac{1051x}{25}$$

Solution Steps

Multiply 3,4 and 0,6 to get 2,04.

$$2,04x+\frac{0,4x}{0,01}$$

Divide 0,4x by 0,01 to get 40x.

$$2,04x+40x$$

Combine 2,04x and 40x to get 42,04x.

$$42,04x$$

Differentiate w.r.t. x

$$42,04$$

Steps Using Definition of a Derivative

Multiply 3,4 and 0,6 to get 2,04.

$$\frac{\mathrm{d}}{\mathrm{d}x}(2,04x+\frac{0,4x}{0,01})$$

Divide 0,4x by 0,01 to get 40x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(2,04x+40x)$$

Combine 2,04x and 40x to get 42,04x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(42,04x)$$

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

$$42,04x^{1-1}$$

Subtract 1 from 1.

$$42,04x^{0}$$

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

$$42,04\times 1$$

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

$$42,04$$