Solve y ^ 2 - 25 and y ^ 2 + 2y - 15 | 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

$$y ^ { 2 } - 25 y ^ { 2 } + 2 y - 15$$

Differentiate w.r.t. y

$2-48y$

Steps Using Derivative Rule for Sum

Combine $y^{2}$ and $-25y^{2}$ to get $-24y^{2}$.

$$\frac{\mathrm{d}}{\mathrm{d}y}(-24y^{2}+2y-15)$$

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 $nax^{n-1}$.

$$2\left(-24\right)y^{2-1}+2y^{1-1}$$

Multiply $2$ times $-24$.

$$-48y^{2-1}+2y^{1-1}$$

Subtract $1$ from $2$.

$$-48y^{1}+2y^{1-1}$$

Subtract $1$ from $1$.

$$-48y^{1}+2y^{0}$$

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

$$-48y+2y^{0}$$

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

$$-48y+2\times 1$$

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

$$-48y+2$$

Evaluate

$-24y^{2}+2y-15$