Solve F(x)-10(x)^(2)+6\times1.4 | 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

$$F(x)-10 { x }^{ 2 } +6 \times 1.4$$

Differentiate w.r.t. x

$F-20x$

Steps Using Derivative Rule for Sum

Multiply $6$ and $1.4$ to get $8.4$.

$$\frac{\mathrm{d}}{\mathrm{d}x}(Fx-10x^{2}+8.4)$$

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 $nax^{n-1}$.

$$Fx^{1-1}+2\left(-10\right)x^{2-1}$$

Subtract $1$ from $1$.

$$Fx^{0}+2\left(-10\right)x^{2-1}$$

Multiply $2$ times $-10$.

$$Fx^{0}-20x^{2-1}$$

Subtract $1$ from $2$.

$$Fx^{0}-20x^{1}$$

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

$$Fx^{0}-20x$$

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

$$F\times 1-20x$$

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

$$F-20x$$

Evaluate

$8.4+Fx-10x^{2}$