Solve h(x) = x^22 r^3 dr 7

Evaluate

h (x) = x^{2} \times 2 r^{3} d r \times 7

Simplify

More Steps

h (x) = 14 x^{2} r^{4} d

Evaluate

h (x) = 14 r^{4} d x^{2}

Take the derivative of both sides

h^{'} (x) = \frac{d}{d x} (14 r^{4} d x^{2})

Use differentiation rule \frac{d}{d x} (c f (x)) = c \times \frac{d}{d x} (f (x))

h^{'} (x) = 14 r^{4} d \times \frac{d}{d x} (x^{2})

Use \frac{d}{d x} x^{n} = n x^{n - 1} to find derivative

h^{'} (x) = 14 r^{4} d \times 2 x

Solution

h^{'} (x) = 28 r^{4} d x

Function