# Step-by-step Solution

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## Step-by-step explanation

Problem to solve:

$\frac{d}{dx}\left(\tan\left(x+1\right)\right)$

Learn how to solve differential calculus problems step by step online.

$\sec\left(x+1\right)^2\frac{d}{dx}\left(x+1\right)$

Learn how to solve differential calculus problems step by step online. Derive the function tan(x+1) with respect to x. The derivative of the tangent of a function is equal to secant squared of that function times the derivative of that function, in other words, if {f(x) = tan(x)}, then {f'(x) = sec^2(x)\cdot D_x(x)}. The derivative of a sum of two functions is the sum of the derivatives of each function. The derivative of the constant function (1) is equal to zero. The derivative of the linear function is equal to 1.

$\sec\left(x+1\right)^2$
$\frac{d}{dx}\left(\tan\left(x+1\right)\right)$

### Main topic:

Differential calculus

### Time to solve it:

~ 0.03 s (SnapXam)