# Derivative Solver

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We know derivative solver can finds the derivative of any math expression with respect to a variable. We know the derivatives of some functions, those are derivative of x^n is n (x^ (n-1)). We know the derivative of a constant that is zero. Derivative of sin x is cosx, derivative of cos x is –sinx and derivative of tan x is sec^2 x.

Problem 1: Find the derivative of the function f(x) = 3x^2 + 4x + 21.

Solution:
=> Step1: The given function is f(x) = 3 x^2 + 4x + 21

=> Step2: The derivative of f (x) = derivative of (3 x^2 + 4x + 21)

=> Step3: We can write this as = derivative of 3 x^2 + derivative of 4x + derivative of 21

= 6 x + 4 + 0 = 6x + 4.

Problem 2: Find the derivative of the function f(x) = 7 e^ x + 9 x^2 + 32x.

Solution:

=> Step1: The given function is f(x) = 7 e^ x + 9 x^2 + 32x

=> Step2: The derivative of f (x) = derivative of (7 e^ x + 9 x^2 + 32x)

=> Step3: We can write this as = derivative of 7 e^ x + derivative of 9 x^2 + derivative of 32 x

= 7 derivative of e^ x + 9 derivative of x^2 + 32 derivative of x

= 7 e^x + 18 x + 32.