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Popular >

derivative of (x^2-49)/(x+7)

Solution

derivative of

\frac{x ^{2} - 49}{x + 7}

Solution

1

Solution steps

\frac{d}{d x} (\frac{x ^{2} - 49}{x + 7})

Simplify

\frac{x ^{2} - 49}{x + 7} : x - 7

= \frac{d}{d x} (x - 7)

Apply the Sum/Difference Rule:

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

= \frac{d x}{d x} - \frac{d}{d x} (7)

\frac{d x}{d x} = 1

\frac{d}{d x} (7) = 0

= 1 - 0

Simplify

= 1

Popular Examples

integral of (3x)/(sqrt(9-25x^4))

\int \frac{3 x}{9 - 25 x ^{4}} d x

derivative of f(x)=(x^2+3)^3(x^3+3)^2 derivative of

f (x) = (x^{2} + 3)^{3} (x^{3} + 3)^{2}

derivative of 5x^2cos(7x)

\frac{d}{d x} (5 x^{2} cos (7 x))

f^{''}(x)=x^3-4x+1,f^'(0)=2,f(1)=-2

f^{^{''}} (x) = x^{3} - 4 x + 1, f^{^{'}} (0) = 2, f (1) = - 2

limit as x approaches 2 of x^2-5x+6x^2-4

x \to 2 lim (x^{2} - 5 x + 6 x^{2} - 4)

Frequently Asked Questions (FAQ)

What is the derivative of (x^2-49)/(x+7) ?
The derivative of (x^2-49)/(x+7) is 1
What is the first derivative of (x^2-49)/(x+7) ?
The first derivative of (x^2-49)/(x+7) is 1