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Popular >

derivative of f(x)=7x^4-8x^5+1

Solution

derivative of

f (x) = 7 x^{4} - 8 x^{5} + 1

Solution

- 40 x^{4} + 28 x^{3}

Solution steps

\frac{d}{d x} (7 x^{4} - 8 x^{5} + 1)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (7 x^{4}) - \frac{d}{d x} (8 x^{5}) + \frac{d}{d x} (1)

\frac{d}{d x} (7 x^{4}) = 28 x^{3}

\frac{d}{d x} (8 x^{5}) = 40 x^{4}

\frac{d}{d x} (1) = 0

= 28 x^{3} - 40 x^{4} + 0

Simplify

= - 40 x^{4} + 28 x^{3}

Popular Examples

perpendicular 2x-3y=5,\at x= 7/2 perpendicular

2 x - 3 y = 5, at x = \frac{7}{2}

slope of 4x+3y=12 slope

4 x + 3 y = 12

derivative of y=ln(sqrt((x+1)/(x-1)))derivative of

y = ln (\frac{x + 1}{x - 1})

line (-2,6),(3,-2)line

(- 2, 6), (3, - 2)

tangent of f(x)=x^2,\at x=1 tangent of

f (x) = x^{2}, at x = 1

Frequently Asked Questions (FAQ)

What is the derivative of f(x)=7x^4-8x^5+1 ?
The derivative of f(x)=7x^4-8x^5+1 is -40x^4+28x^3
What is the first derivative of f(x)=7x^4-8x^5+1 ?
The first derivative of f(x)=7x^4-8x^5+1 is -40x^4+28x^3