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Exercise

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

Step-by-step Solution

1

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 ${f'(x) = sec^2(x)\cdot D_x(x)}$

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

The derivative of a sum of two or more functions is the sum of the derivatives of each function

$\sec\left(x+1\right)^2$

Final answer to the exercise

$\sec\left(x+1\right)^2$

Try other ways to solve this exercise

  • Choose an option
  • Find the derivative using the definition
  • Find the derivative using the product rule
  • Find the derivative using the quotient rule
  • Find the derivative using logarithmic differentiation
  • Find the derivative
  • Integrate by partial fractions
  • Product of Binomials with Common Term
  • FOIL Method
  • Integrate by substitution
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Main Topic: Sum Rule of Differentiation

The sum rule is a method to find the derivative of a function that is the sum of two or more functions.

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