Solve x(-3/4)^5=

$$x ( - \frac { 3 } { 4 } ) ^ { 5 } =$$

Differentiate w.r.t. x

$$-\frac{243}{1024} = -0.2373046875$$

Steps Using Definition of a Derivative

Calculate -\frac{3}{4} to the power of 5 and get -\frac{243}{1024}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x\left(-\frac{243}{1024}\right))$$

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

$$-\frac{243}{1024}x^{1-1}$$

Subtract 1 from 1.

$$-\frac{243}{1024}x^{0}$$

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

$$-\frac{243}{1024}$$

Evaluate

$$-\frac{243x}{1024}$$

Solution Steps

Calculate -\frac{3}{4} to the power of 5 and get -\frac{243}{1024}.

$$x\left(-\frac{243}{1024}\right)$$