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Popular >

derivative of 8x^4-24x^2+r-1

Solution

\frac{d}{d x} (8 x^{4} - 24 x^{2} + r - 1)

Solution

32 x^{3} - 48 x + \frac{d r}{d x}

Solution steps

\frac{d}{d x} (8 x^{4} - 24 x^{2} + r - 1)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (8 x^{4}) - \frac{d}{d x} (24 x^{2}) + \frac{d r}{d x} - \frac{d}{d x} (1)

\frac{d}{d x} (8 x^{4}) = 32 x^{3}

\frac{d}{d x} (24 x^{2}) = 48 x

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

= 32 x^{3} - 48 x + \frac{d r}{d x} - 0

Simplify

= 32 x^{3} - 48 x + \frac{d r}{d x}

Graph

Popular Examples

extreme x^3-3x^2-23x+8 extreme points

x^{3} - 3 x^{2} - 23 x + 8

extreme 6x^5+33x^4-30x^3+100 extreme points

6 x^{5} + 33 x^{4} - 30 x^{3} + 100

extreme f(x,y)=x^2+y^2-10 extreme points

f (x, y) = x^{2} + y^{2} - 10

extreme f(x)=((x+1))/(x^2+x+1)extreme points

f (x) = \frac{( x + 1 )}{x ^{2} + x + 1}

extreme f(x)=x^4-x^3-2x^2 extreme points

f (x) = x^{4} - x^{3} - 2 x^{2}

Frequently Asked Questions (FAQ)

What is the derivative of 8x^4-24x^2+r-1 ?
The derivative of 8x^4-24x^2+r-1 is 32x^3-48x+(dr)/(dx)
What is the first derivative of 8x^4-24x^2+r-1 ?
The first derivative of 8x^4-24x^2+r-1 is 32x^3-48x+(dr)/(dx)