Solve d/dx7(15x^2+12x)

$$\frac{d}{d x } 7 (15 { x }^{ 2 } +12x)$$

Evaluate

$$210x+84$$

Steps Using Derivative Rule for Sum

Use the distributive property to multiply 7 by 15x^{2}+12x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(105x^{2}+84x)$$

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax^{n} is nax^{n-1}.

$$2\times 105x^{2-1}+84x^{1-1}$$

Multiply 2 times 105.

$$210x^{2-1}+84x^{1-1}$$

Subtract 1 from 2.

$$210x^{1}+84x^{1-1}$$

Subtract 1 from 1.

$$210x^{1}+84x^{0}$$

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

$$210x+84x^{0}$$

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

$$210x+84\times 1$$

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

$$210x+84$$

Differentiate w.r.t. x

$$210$$