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Popular >

derivative of (2x^2-5^{-15})

Solution

\frac{d}{d x} ((2 x^{2} - 5)^{- 15})

Solution

- \frac{60 x}{( 2 x ^{2} - 5 ) ^{16}}

Solution steps

\frac{d}{d x} ((2 x^{2} - 5)^{- 15})

Apply the chain rule:

- \frac{15}{( 2 x ^{2} - 5 ) ^{16}} \frac{d}{d x} (2 x^{2} - 5)

= - \frac{15}{( 2 x ^{2} - 5 ) ^{16}} \frac{d}{d x} (2 x^{2} - 5)

\frac{d}{d x} (2 x^{2} - 5) = 4 x

= - \frac{15}{( 2 x ^{2} - 5 ) ^{16}} \cdot 4 x

Simplify

- \frac{15}{( 2 x ^{2} - 5 ) ^{16}} \cdot 4 x : - \frac{60 x}{( 2 x ^{2} - 5 ) ^{16}}

= - \frac{60 x}{( 2 x ^{2} - 5 ) ^{16}}

Popular Examples

tangent of f(x)=(x-5)^2,\at x=1 tangent of

f (x) = (x - 5)^{2}, at x = 1

integral from 0 to ln(4) of 3(4-xe^x)

\int_{0}^{l n (4)} 3 (4 - x e^{x}) d x

(1+x^2)y^'=xy+x^2y^2

(1 + x^{2}) y^{^{'}} = x y + x^{2} y^{2}

tangent of f(x)= 1/(sqrt(7x)),\at x=9 tangent of

f (x) = \frac{1}{7 x}, at x = 9

y^{^{''}} - 2 x y^{^{'}} = 0

Frequently Asked Questions (FAQ)

What is the derivative of (2x^2-5^{-15}) ?
The derivative of (2x^2-5^{-15}) is -(60x)/((2x^2-5)^{16)}
What is the first derivative of (2x^2-5^{-15}) ?
The first derivative of (2x^2-5^{-15}) is -(60x)/((2x^2-5)^{16)}