Solve 25(x)^(5)/5(x)^(8)= | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$25 { x }^{ 5 } /5 { x }^{ 8 } =$$

Evaluate

$5x^{13}$

Differentiate w.r.t. x

$65x^{12}$

Steps Using Definition of a Derivative

Divide $25x^{5}$ by $5$ to get $5x^{5}$.

$$\frac{\mathrm{d}}{\mathrm{d}x}(5x^{5}x^{8})$$

To multiply powers of the same base, add their exponents. Add $5$ and $8$ to get $13$.

$$\frac{\mathrm{d}}{\mathrm{d}x}(5x^{13})$$

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

$$13\times 5x^{13-1}$$

Multiply $13$ times $5$.

$$65x^{13-1}$$

Subtract $1$ from $13$.

$$65x^{12}$$