Solve 15^4-17x^2-4

$${ 15 }^{ 4 } -17 { x }^{ 2 } -4$$

Evaluate

$$50621-17x^{2}$$

Solution Steps

Calculate 15 to the power of 4 and get 50625.

$$50625-17x^{2}-4$$

Subtract 4 from 50625 to get 50621.

$$50621-17x^{2}$$

Differentiate w.r.t. x

$$-34x$$

Steps Using Derivative Rule for Sum

Calculate 15 to the power of 4 and get 50625.

$$\frac{\mathrm{d}}{\mathrm{d}x}(50625-17x^{2}-4)$$

Subtract 4 from 50625 to get 50621.

$$\frac{\mathrm{d}}{\mathrm{d}x}(50621-17x^{2})$$

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}.

$$2\left(-17\right)x^{2-1}$$

Multiply 2 times -17.

$$-34x^{2-1}$$

Subtract 1 from 2.

$$-34x^{1}$$

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

$$-34x$$