Solved example of derivatives of trigonometric functions
The derivative of the cosine of a function is equal to minus the sine of the function times the derivative of the function, in other words, if $f(x) = \cos(x)$, then $f'(x) = -\sin(x)\cdot D_x(x)$
The derivative of a sum of two or more functions is the sum of the derivatives of each function
The derivative of the constant function ($-5$) is equal to zero
$x+0=x$, where $x$ is any expression
The derivative of the constant function ($-5$) is equal to zero
The derivative of the linear function is equal to $1$
The derivative of a function multiplied by a constant ($3$) is equal to the constant times the derivative of the function
The power rule for differentiation states that if $n$ is a real number and $f(x) = x^n$, then $f'(x) = nx^{n-1}$
Subtract the values $2$ and $-1$
Multiply $3$ times $2$
Any expression to the power of $1$ is equal to that same expression
The power rule for differentiation states that if $n$ is a real number and $f(x) = x^n$, then $f'(x) = nx^{n-1}$
Solve the product $-\sin\left(3x^2+x-5\right)\left(6x+1\right)$
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