What is the derivative of x^5*a+x^5*b-a-b ?

The derivative of x^5*a+x^5*b-a-b is 5ax^4+5bx^4

What is the first derivative of x^5*a+x^5*b-a-b ?

The first derivative of x^5*a+x^5*b-a-b is 5ax^4+5bx^4

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\frac{d}{d x} (x^{5} \cdot a + x^{5} \cdot b - a - b)

5 a x^{4} + 5 b x^{4}

Solution steps

\frac{d}{d x} (x^{5} a + x^{5} b - a - b)

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (x^{5} a) + \frac{d}{d x} (x^{5} b) - \frac{d a}{d x} - \frac{d b}{d x}

\frac{d}{d x} (x^{5} a) = 5 a x^{4}

\frac{d}{d x} (x^{5} b) = 5 b x^{4}

\frac{d a}{d x} = 0

\frac{d b}{d x} = 0

= 5 a x^{4} + 5 b x^{4} - 0 - 0

Simplify

= 5 a x^{4} + 5 b x^{4}

(x^{2} + 5 x) 5

2 - ∣ 3 - x ∣

5 t^{4}

f (x) = x - 2 x + x + 2

- 2 cos^{2} (x)

What is the derivative of x^5*a+x^5*b-a-b ?
The derivative of x^5*a+x^5*b-a-b is 5ax^4+5bx^4
What is the first derivative of x^5*a+x^5*b-a-b ?
The first derivative of x^5*a+x^5*b-a-b is 5ax^4+5bx^4