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Popular >

derivative of sin(sqrt(x^2+1))

Solution

\frac{d}{d x} (sin (x^{2} + 1))

Solution

\frac{x cos ( x ^{2} + 1 )}{x ^{2} + 1}

Solution steps

\frac{d}{d x} (sin (x^{2} + 1))

Apply the chain rule:

cos (x^{2} + 1) \frac{d}{d x} (x^{2} + 1)

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

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

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

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

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

Popular Examples

tangent of f(x)= 2/x ,(4, 1/2)tangent of

f (x) = \frac{2}{x}, (4, \frac{1}{2})

derivative of 1+2cos(x)

\frac{d}{d x} (1 + 2 cos (x))

derivative of e^{x^2-4}+3x+5

\frac{d}{d x} (e^{x^{2} - 4} + 3 x + 5)

slope ofintercept (-4,4),(3,-4)slope intercept

(- 4, 4), (3, - 4)

(y^2+yx)dx+(x^2)dy=0

(y^{2} + y x) d x + (x^{2}) d y = 0

Frequently Asked Questions (FAQ)

What is the derivative of sin(sqrt(x^2+1)) ?
The derivative of sin(sqrt(x^2+1)) is (xcos(sqrt(x^2+1)))/(sqrt(x^2+1))
What is the first derivative of sin(sqrt(x^2+1)) ?
The first derivative of sin(sqrt(x^2+1)) is (xcos(sqrt(x^2+1)))/(sqrt(x^2+1))